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Simplifying -35 + -5c = 8(3c + 9) Reorder the terms: -35 + -5c = 8(9 + 3c) -35 + -5c = (9 * 8 + 3c * 8) -35 + -5c = (72 + 24c) Solving -35 + -5c = 72 + 24c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-24c' to each side of the equation. -35 + -5c + -24c = 72 + 24c + -24c Combine like terms: -5c + -24c = -29c -35 + -29c = 72 + 24c + -24c Combine like terms: 24c + -24c = 0 -35 + -29c = 72 + 0 -35 + -29c = 72 Add '35' to each side of the equation. -35 + 35 + -29c = 72 + 35 Combine like terms: -35 + 35 = 0 0 + -29c = 72 + 35 -29c = 72 + 35 Combine like terms: 72 + 35 = 107 -29c = 107 Divide each side by '-29'. c = -3.689655172 Simplifying c = -3.689655172
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