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Simplifying -4z + 27 = 3(3z + -4) Reorder the terms: 27 + -4z = 3(3z + -4) Reorder the terms: 27 + -4z = 3(-4 + 3z) 27 + -4z = (-4 * 3 + 3z * 3) 27 + -4z = (-12 + 9z) Solving 27 + -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. 27 + -4z + -9z = -12 + 9z + -9z Combine like terms: -4z + -9z = -13z 27 + -13z = -12 + 9z + -9z Combine like terms: 9z + -9z = 0 27 + -13z = -12 + 0 27 + -13z = -12 Add '-27' to each side of the equation. 27 + -27 + -13z = -12 + -27 Combine like terms: 27 + -27 = 0 0 + -13z = -12 + -27 -13z = -12 + -27 Combine like terms: -12 + -27 = -39 -13z = -39 Divide each side by '-13'. z = 3 Simplifying z = 3
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