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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 = 32 1z = 32 Divide each side by '1'. z = 32 Simplifying z = 32
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