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Simplifying 8(c + 8) = 7 + 7c Reorder the terms: 8(8 + c) = 7 + 7c (8 * 8 + c * 8) = 7 + 7c (64 + 8c) = 7 + 7c Solving 64 + 8c = 7 + 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. 64 + 8c + -7c = 7 + 7c + -7c Combine like terms: 8c + -7c = 1c 64 + 1c = 7 + 7c + -7c Combine like terms: 7c + -7c = 0 64 + 1c = 7 + 0 64 + 1c = 7 Add '-64' to each side of the equation. 64 + -64 + 1c = 7 + -64 Combine like terms: 64 + -64 = 0 0 + 1c = 7 + -64 1c = 7 + -64 Combine like terms: 7 + -64 = -57 1c = -57 Divide each side by '1'. c = -57 Simplifying c = -57
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