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