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Subtract −2(3p+2)-2(3p + 2) from 2p+62p + 6.\newlineSimplify your expression and provide the final result.

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Full solution

Q. Subtract −2(3p+2)-2(3p + 2) from 2p+62p + 6.\newlineSimplify your expression and provide the final result.
  1. Distribute −2-2: First, distribute the −2-2 inside the parentheses to both 3p3p and 22.\newlineCalculation: −2×3p=−6p-2 \times 3p = -6p, −2×2=−4-2 \times 2 = -4.\newlineSo, −2(3p+2)-2(3p + 2) becomes −6p−4-6p - 4.
  2. Subtract and Add Opposite: Now, subtract −6p−4-6p - 4 from 2p+62p + 6. To do this, change subtraction to addition of the opposite. Calculation: (2p+6)+(6p+4)(2p + 6) + (6p + 4).
  3. Combine Like Terms: Combine like terms.\newlineCalculation: 2p+6p=8p2p + 6p = 8p, 6+4=106 + 4 = 10.\newlineSo, the expression becomes 8p+108p + 10.

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