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Simplifying 96 = 8(c + 1) Reorder the terms: 96 = 8(1 + c) 96 = (1 * 8 + c * 8) 96 = (8 + 8c) Solving 96 = 8 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. 96 + -8c = 8 + 8c + -8c Combine like terms: 8c + -8c = 0 96 + -8c = 8 + 0 96 + -8c = 8 Add '-96' to each side of the equation. 96 + -96 + -8c = 8 + -96 Combine like terms: 96 + -96 = 0 0 + -8c = 8 + -96 -8c = 8 + -96 Combine like terms: 8 + -96 = -88 -8c = -88 Divide each side by '-8'. c = 11 Simplifying c = 11
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