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Simplifying 24 = 7 + 8(c + 2) Reorder the terms: 24 = 7 + 8(2 + c) 24 = 7 + (2 * 8 + c * 8) 24 = 7 + (16 + 8c) Combine like terms: 7 + 16 = 23 24 = 23 + 8c Solving 24 = 23 + 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. 24 + -8c = 23 + 8c + -8c Combine like terms: 8c + -8c = 0 24 + -8c = 23 + 0 24 + -8c = 23 Add '-24' to each side of the equation. 24 + -24 + -8c = 23 + -24 Combine like terms: 24 + -24 = 0 0 + -8c = 23 + -24 -8c = 23 + -24 Combine like terms: 23 + -24 = -1 -8c = -1 Divide each side by '-8'. c = 0.125 Simplifying c = 0.125
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