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Simplifying 8c + -4(-5c + -2) = 12c Reorder the terms: 8c + -4(-2 + -5c) = 12c 8c + (-2 * -4 + -5c * -4) = 12c 8c + (8 + 20c) = 12c Reorder the terms: 8 + 8c + 20c = 12c Combine like terms: 8c + 20c = 28c 8 + 28c = 12c Solving 8 + 28c = 12c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12c' to each side of the equation. 8 + 28c + -12c = 12c + -12c Combine like terms: 28c + -12c = 16c 8 + 16c = 12c + -12c Combine like terms: 12c + -12c = 0 8 + 16c = 0 Add '-8' to each side of the equation. 8 + -8 + 16c = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 16c = 0 + -8 16c = 0 + -8 Combine like terms: 0 + -8 = -8 16c = -8 Divide each side by '16'. c = -0.5 Simplifying c = -0.5
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