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Simplifying -3(2c + -4) = 31 + -7c Reorder the terms: -3(-4 + 2c) = 31 + -7c (-4 * -3 + 2c * -3) = 31 + -7c (12 + -6c) = 31 + -7c Solving 12 + -6c = 31 + -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. 12 + -6c + 7c = 31 + -7c + 7c Combine like terms: -6c + 7c = 1c 12 + 1c = 31 + -7c + 7c Combine like terms: -7c + 7c = 0 12 + 1c = 31 + 0 12 + 1c = 31 Add '-12' to each side of the equation. 12 + -12 + 1c = 31 + -12 Combine like terms: 12 + -12 = 0 0 + 1c = 31 + -12 1c = 31 + -12 Combine like terms: 31 + -12 = 19 1c = 19 Divide each side by '1'. c = 19 Simplifying c = 19
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