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Simplifying -8 = 9c + -1(c + 24) Reorder the terms: -8 = 9c + -1(24 + c) -8 = 9c + (24 * -1 + c * -1) -8 = 9c + (-24 + -1c) Reorder the terms: -8 = -24 + 9c + -1c Combine like terms: 9c + -1c = 8c -8 = -24 + 8c Solving -8 = -24 + 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. -8 + -8c = -24 + 8c + -8c Combine like terms: 8c + -8c = 0 -8 + -8c = -24 + 0 -8 + -8c = -24 Add '8' to each side of the equation. -8 + 8 + -8c = -24 + 8 Combine like terms: -8 + 8 = 0 0 + -8c = -24 + 8 -8c = -24 + 8 Combine like terms: -24 + 8 = -16 -8c = -16 Divide each side by '-8'. c = 2 Simplifying c = 2
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