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Simplifying 2(6c + 3) = 18 + -3(16 + -3c) Reorder the terms: 2(3 + 6c) = 18 + -3(16 + -3c) (3 * 2 + 6c * 2) = 18 + -3(16 + -3c) (6 + 12c) = 18 + -3(16 + -3c) 6 + 12c = 18 + (16 * -3 + -3c * -3) 6 + 12c = 18 + (-48 + 9c) Combine like terms: 18 + -48 = -30 6 + 12c = -30 + 9c Solving 6 + 12c = -30 + 9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9c' to each side of the equation. 6 + 12c + -9c = -30 + 9c + -9c Combine like terms: 12c + -9c = 3c 6 + 3c = -30 + 9c + -9c Combine like terms: 9c + -9c = 0 6 + 3c = -30 + 0 6 + 3c = -30 Add '-6' to each side of the equation. 6 + -6 + 3c = -30 + -6 Combine like terms: 6 + -6 = 0 0 + 3c = -30 + -6 3c = -30 + -6 Combine like terms: -30 + -6 = -36 3c = -36 Divide each side by '3'. c = -12 Simplifying c = -12
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