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Simplifying -5(-2c + -12) = 7c + 6 Reorder the terms: -5(-12 + -2c) = 7c + 6 (-12 * -5 + -2c * -5) = 7c + 6 (60 + 10c) = 7c + 6 Reorder the terms: 60 + 10c = 6 + 7c Solving 60 + 10c = 6 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. 60 + 10c + -7c = 6 + 7c + -7c Combine like terms: 10c + -7c = 3c 60 + 3c = 6 + 7c + -7c Combine like terms: 7c + -7c = 0 60 + 3c = 6 + 0 60 + 3c = 6 Add '-60' to each side of the equation. 60 + -60 + 3c = 6 + -60 Combine like terms: 60 + -60 = 0 0 + 3c = 6 + -60 3c = 6 + -60 Combine like terms: 6 + -60 = -54 3c = -54 Divide each side by '3'. c = -18 Simplifying c = -18
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