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Simplifying 3(c + -4) = 3(4 + -1c) Reorder the terms: 3(-4 + c) = 3(4 + -1c) (-4 * 3 + c * 3) = 3(4 + -1c) (-12 + 3c) = 3(4 + -1c) -12 + 3c = (4 * 3 + -1c * 3) -12 + 3c = (12 + -3c) Solving -12 + 3c = 12 + -3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3c' to each side of the equation. -12 + 3c + 3c = 12 + -3c + 3c Combine like terms: 3c + 3c = 6c -12 + 6c = 12 + -3c + 3c Combine like terms: -3c + 3c = 0 -12 + 6c = 12 + 0 -12 + 6c = 12 Add '12' to each side of the equation. -12 + 12 + 6c = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 6c = 12 + 12 6c = 12 + 12 Combine like terms: 12 + 12 = 24 6c = 24 Divide each side by '6'. c = 4 Simplifying c = 4
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