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Simplifying 4z + -12 = 3(3z + 4) Reorder the terms: -12 + 4z = 3(3z + 4) Reorder the terms: -12 + 4z = 3(4 + 3z) -12 + 4z = (4 * 3 + 3z * 3) -12 + 4z = (12 + 9z) Solving -12 + 4z = 12 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -12 + 4z + -9z = 12 + 9z + -9z Combine like terms: 4z + -9z = -5z -12 + -5z = 12 + 9z + -9z Combine like terms: 9z + -9z = 0 -12 + -5z = 12 + 0 -12 + -5z = 12 Add '12' to each side of the equation. -12 + 12 + -5z = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -5z = 12 + 12 -5z = 12 + 12 Combine like terms: 12 + 12 = 24 -5z = 24 Divide each side by '-5'. z = -4.8 Simplifying z = -4.8
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