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Simplifying 4z + 36 = 3(4z + 4) Reorder the terms: 36 + 4z = 3(4z + 4) Reorder the terms: 36 + 4z = 3(4 + 4z) 36 + 4z = (4 * 3 + 4z * 3) 36 + 4z = (12 + 12z) Solving 36 + 4z = 12 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. 36 + 4z + -12z = 12 + 12z + -12z Combine like terms: 4z + -12z = -8z 36 + -8z = 12 + 12z + -12z Combine like terms: 12z + -12z = 0 36 + -8z = 12 + 0 36 + -8z = 12 Add '-36' to each side of the equation. 36 + -36 + -8z = 12 + -36 Combine like terms: 36 + -36 = 0 0 + -8z = 12 + -36 -8z = 12 + -36 Combine like terms: 12 + -36 = -24 -8z = -24 Divide each side by '-8'. z = 3 Simplifying z = 3
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