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Simplifying 8(c + 9) = 7 + 7c Reorder the terms: 8(9 + c) = 7 + 7c (9 * 8 + c * 8) = 7 + 7c (72 + 8c) = 7 + 7c Solving 72 + 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. 72 + 8c + -7c = 7 + 7c + -7c Combine like terms: 8c + -7c = 1c 72 + 1c = 7 + 7c + -7c Combine like terms: 7c + -7c = 0 72 + 1c = 7 + 0 72 + 1c = 7 Add '-72' to each side of the equation. 72 + -72 + 1c = 7 + -72 Combine like terms: 72 + -72 = 0 0 + 1c = 7 + -72 1c = 7 + -72 Combine like terms: 7 + -72 = -65 1c = -65 Divide each side by '1'. c = -65 Simplifying c = -65
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