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Simplifying 4(2c + -3) = 2(6c + -6) + 4c Reorder the terms: 4(-3 + 2c) = 2(6c + -6) + 4c (-3 * 4 + 2c * 4) = 2(6c + -6) + 4c (-12 + 8c) = 2(6c + -6) + 4c Reorder the terms: -12 + 8c = 2(-6 + 6c) + 4c -12 + 8c = (-6 * 2 + 6c * 2) + 4c -12 + 8c = (-12 + 12c) + 4c Combine like terms: 12c + 4c = 16c -12 + 8c = -12 + 16c Add '12' to each side of the equation. -12 + 12 + 8c = -12 + 12 + 16c Combine like terms: -12 + 12 = 0 0 + 8c = -12 + 12 + 16c 8c = -12 + 12 + 16c Combine like terms: -12 + 12 = 0 8c = 0 + 16c 8c = 16c Solving 8c = 16c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-16c' to each side of the equation. 8c + -16c = 16c + -16c Combine like terms: 8c + -16c = -8c -8c = 16c + -16c Combine like terms: 16c + -16c = 0 -8c = 0 Divide each side by '-8'. c = 0 Simplifying c = 0
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