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Simplifying 8(7 + c) = 7(5 + c) (7 * 8 + c * 8) = 7(5 + c) (56 + 8c) = 7(5 + c) 56 + 8c = (5 * 7 + c * 7) 56 + 8c = (35 + 7c) Solving 56 + 8c = 35 + 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. 56 + 8c + -7c = 35 + 7c + -7c Combine like terms: 8c + -7c = 1c 56 + 1c = 35 + 7c + -7c Combine like terms: 7c + -7c = 0 56 + 1c = 35 + 0 56 + 1c = 35 Add '-56' to each side of the equation. 56 + -56 + 1c = 35 + -56 Combine like terms: 56 + -56 = 0 0 + 1c = 35 + -56 1c = 35 + -56 Combine like terms: 35 + -56 = -21 1c = -21 Divide each side by '1'. c = -21 Simplifying c = -21
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