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Simplifying 3(2c + -4) = 32c + -12 Reorder the terms: 3(-4 + 2c) = 32c + -12 (-4 * 3 + 2c * 3) = 32c + -12 (-12 + 6c) = 32c + -12 Reorder the terms: -12 + 6c = -12 + 32c Add '12' to each side of the equation. -12 + 12 + 6c = -12 + 12 + 32c Combine like terms: -12 + 12 = 0 0 + 6c = -12 + 12 + 32c 6c = -12 + 12 + 32c Combine like terms: -12 + 12 = 0 6c = 0 + 32c 6c = 32c Solving 6c = 32c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-32c' to each side of the equation. 6c + -32c = 32c + -32c Combine like terms: 6c + -32c = -26c -26c = 32c + -32c Combine like terms: 32c + -32c = 0 -26c = 0 Divide each side by '-26'. c = 0 Simplifying c = 0
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