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Simplifying 8(5 + c) = 7(7 + c) (5 * 8 + c * 8) = 7(7 + c) (40 + 8c) = 7(7 + c) 40 + 8c = (7 * 7 + c * 7) 40 + 8c = (49 + 7c) Solving 40 + 8c = 49 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. 40 + 8c + -7c = 49 + 7c + -7c Combine like terms: 8c + -7c = 1c 40 + 1c = 49 + 7c + -7c Combine like terms: 7c + -7c = 0 40 + 1c = 49 + 0 40 + 1c = 49 Add '-40' to each side of the equation. 40 + -40 + 1c = 49 + -40 Combine like terms: 40 + -40 = 0 0 + 1c = 49 + -40 1c = 49 + -40 Combine like terms: 49 + -40 = 9 1c = 9 Divide each side by '1'. c = 9 Simplifying c = 9
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