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Simplifying 12 = -6(c + 1) Reorder the terms: 12 = -6(1 + c) 12 = (1 * -6 + c * -6) 12 = (-6 + -6c) Solving 12 = -6 + -6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '6c' to each side of the equation. 12 + 6c = -6 + -6c + 6c Combine like terms: -6c + 6c = 0 12 + 6c = -6 + 0 12 + 6c = -6 Add '-12' to each side of the equation. 12 + -12 + 6c = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 6c = -6 + -12 6c = -6 + -12 Combine like terms: -6 + -12 = -18 6c = -18 Divide each side by '6'. c = -3 Simplifying c = -3
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