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Simplifying 4(3c + 1) = -1(5 + -1c) Reorder the terms: 4(1 + 3c) = -1(5 + -1c) (1 * 4 + 3c * 4) = -1(5 + -1c) (4 + 12c) = -1(5 + -1c) 4 + 12c = (5 * -1 + -1c * -1) 4 + 12c = (-5 + 1c) Solving 4 + 12c = -5 + 1c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 4 + 12c + -1c = -5 + 1c + -1c Combine like terms: 12c + -1c = 11c 4 + 11c = -5 + 1c + -1c Combine like terms: 1c + -1c = 0 4 + 11c = -5 + 0 4 + 11c = -5 Add '-4' to each side of the equation. 4 + -4 + 11c = -5 + -4 Combine like terms: 4 + -4 = 0 0 + 11c = -5 + -4 11c = -5 + -4 Combine like terms: -5 + -4 = -9 11c = -9 Divide each side by '11'. c = -0.8181818182 Simplifying c = -0.8181818182
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