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