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Simplifying 35 + -8c = -6(7c + 4) Reorder the terms: 35 + -8c = -6(4 + 7c) 35 + -8c = (4 * -6 + 7c * -6) 35 + -8c = (-24 + -42c) Solving 35 + -8c = -24 + -42c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '42c' to each side of the equation. 35 + -8c + 42c = -24 + -42c + 42c Combine like terms: -8c + 42c = 34c 35 + 34c = -24 + -42c + 42c Combine like terms: -42c + 42c = 0 35 + 34c = -24 + 0 35 + 34c = -24 Add '-35' to each side of the equation. 35 + -35 + 34c = -24 + -35 Combine like terms: 35 + -35 = 0 0 + 34c = -24 + -35 34c = -24 + -35 Combine like terms: -24 + -35 = -59 34c = -59 Divide each side by '34'. c = -1.735294118 Simplifying c = -1.735294118
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