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Simplifying 32 + 7c = -3(8c + 6) Reorder the terms: 32 + 7c = -3(6 + 8c) 32 + 7c = (6 * -3 + 8c * -3) 32 + 7c = (-18 + -24c) Solving 32 + 7c = -18 + -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. 32 + 7c + 24c = -18 + -24c + 24c Combine like terms: 7c + 24c = 31c 32 + 31c = -18 + -24c + 24c Combine like terms: -24c + 24c = 0 32 + 31c = -18 + 0 32 + 31c = -18 Add '-32' to each side of the equation. 32 + -32 + 31c = -18 + -32 Combine like terms: 32 + -32 = 0 0 + 31c = -18 + -32 31c = -18 + -32 Combine like terms: -18 + -32 = -50 31c = -50 Divide each side by '31'. c = -1.612903226 Simplifying c = -1.612903226
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