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Simplifying 8(1 + c) = 7(9 + c) (1 * 8 + c * 8) = 7(9 + c) (8 + 8c) = 7(9 + c) 8 + 8c = (9 * 7 + c * 7) 8 + 8c = (63 + 7c) Solving 8 + 8c = 63 + 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. 8 + 8c + -7c = 63 + 7c + -7c Combine like terms: 8c + -7c = 1c 8 + 1c = 63 + 7c + -7c Combine like terms: 7c + -7c = 0 8 + 1c = 63 + 0 8 + 1c = 63 Add '-8' to each side of the equation. 8 + -8 + 1c = 63 + -8 Combine like terms: 8 + -8 = 0 0 + 1c = 63 + -8 1c = 63 + -8 Combine like terms: 63 + -8 = 55 1c = 55 Divide each side by '1'. c = 55 Simplifying c = 55
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