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