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Simplifying -3z + 24 = 3(2z + -4) Reorder the terms: 24 + -3z = 3(2z + -4) Reorder the terms: 24 + -3z = 3(-4 + 2z) 24 + -3z = (-4 * 3 + 2z * 3) 24 + -3z = (-12 + 6z) Solving 24 + -3z = -12 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 24 + -3z + -6z = -12 + 6z + -6z Combine like terms: -3z + -6z = -9z 24 + -9z = -12 + 6z + -6z Combine like terms: 6z + -6z = 0 24 + -9z = -12 + 0 24 + -9z = -12 Add '-24' to each side of the equation. 24 + -24 + -9z = -12 + -24 Combine like terms: 24 + -24 = 0 0 + -9z = -12 + -24 -9z = -12 + -24 Combine like terms: -12 + -24 = -36 -9z = -36 Divide each side by '-9'. z = 4 Simplifying z = 4
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