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Simplifying 3(2z + -4) = 5(z + -4) Reorder the terms: 3(-4 + 2z) = 5(z + -4) (-4 * 3 + 2z * 3) = 5(z + -4) (-12 + 6z) = 5(z + -4) Reorder the terms: -12 + 6z = 5(-4 + z) -12 + 6z = (-4 * 5 + z * 5) -12 + 6z = (-20 + 5z) Solving -12 + 6z = -20 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -12 + 6z + -5z = -20 + 5z + -5z Combine like terms: 6z + -5z = 1z -12 + 1z = -20 + 5z + -5z Combine like terms: 5z + -5z = 0 -12 + 1z = -20 + 0 -12 + 1z = -20 Add '12' to each side of the equation. -12 + 12 + 1z = -20 + 12 Combine like terms: -12 + 12 = 0 0 + 1z = -20 + 12 1z = -20 + 12 Combine like terms: -20 + 12 = -8 1z = -8 Divide each side by '1'. z = -8 Simplifying z = -8
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