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Simplifying 18 = -6 + 8(c + -9) Reorder the terms: 18 = -6 + 8(-9 + c) 18 = -6 + (-9 * 8 + c * 8) 18 = -6 + (-72 + 8c) Combine like terms: -6 + -72 = -78 18 = -78 + 8c Solving 18 = -78 + 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. 18 + -8c = -78 + 8c + -8c Combine like terms: 8c + -8c = 0 18 + -8c = -78 + 0 18 + -8c = -78 Add '-18' to each side of the equation. 18 + -18 + -8c = -78 + -18 Combine like terms: 18 + -18 = 0 0 + -8c = -78 + -18 -8c = -78 + -18 Combine like terms: -78 + -18 = -96 -8c = -96 Divide each side by '-8'. c = 12 Simplifying c = 12
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