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the sum of 77 times a number and 3=23=2

Full solution

Q. the sum of 77 times a number and 3=23=2
  1. Convert Equation: Convert the word problem into an equation: 7×number+3=27 \times \text{number} + 3 = 2.
  2. Subtract 33: Subtract 33 from both sides to isolate the term with the variable: 7×number=237 \times \text{number} = 2 - 3.
  3. Calculate Right Side: Calculate the right side: 7×number=17 \times \text{number} = -1.
  4. Divide by 77: Divide both sides by 77 to solve for the number: number=17\text{number} = -\frac{1}{7}.
  5. Calculate Final Answer: Calculate the final answer: number=17number = -\frac{1}{7}.