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Use the distributive property to write an expression that is equivalent to each given expression.
(2) 
-3(2x-4)
b. 
0.1(-90+50 a)
c. 
-7(-x-9)
d. 
(4)/(5)(10 y+-x+-15)

44. Use the distributive property to write an expression that is equivalent to each given expression.\newline(22) 3(2x4) -3(2 x-4) \newlineb. 0.1(90+50a) 0.1(-90+50 a) \newlinec. 7(x9) -7(-x-9) \newlined. 45(10y+x+15) \frac{4}{5}(10 y+-x+-15)

Full solution

Q. 44. Use the distributive property to write an expression that is equivalent to each given expression.\newline(22) 3(2x4) -3(2 x-4) \newlineb. 0.1(90+50a) 0.1(-90+50 a) \newlinec. 7(x9) -7(-x-9) \newlined. 45(10y+x+15) \frac{4}{5}(10 y+-x+-15)
  1. Apply Distributive Property: a. 3(2x4)-3(2x-4)\newlineApply the distributive property: 3×2x+(3)×(4)-3 \times 2x + (-3) \times (-4)
  2. Calculation: Calculation: 6x+12-6x + 12
  3. Apply Distributive Property: 0.1(90+50a)0.1(-90+50a)\newlineApply the distributive property: 0.1×(90)+0.1×50a0.1 \times (-90) + 0.1 \times 50a
  4. Calculation: Calculation: 9+5a-9 + 5a
  5. Apply Distributive Property: c.7(x9)c. -7(-x-9)\newlineApply the distributive property: 7×(x)+(7)×(9)-7 \times (-x) + (-7) \times (-9)
  6. Calculation: Calculation: 7x+637x + 63
  7. Apply Distributive Property: d.45(10y+x+15)d. \frac{4}{5}(10y+-x+-15)\newlineApply the distributive property: 45×10y+45×(x)+45×(15)\frac{4}{5} \times 10y + \frac{4}{5} \times (-x) + \frac{4}{5} \times (-15)
  8. Calculation: Calculation: 8y(45)x128y - \left(\frac{4}{5}\right)x - 12

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