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Simplifying -3z + 27 = 3(z + -3) Reorder the terms: 27 + -3z = 3(z + -3) Reorder the terms: 27 + -3z = 3(-3 + z) 27 + -3z = (-3 * 3 + z * 3) 27 + -3z = (-9 + 3z) Solving 27 + -3z = -9 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 27 + -3z + -3z = -9 + 3z + -3z Combine like terms: -3z + -3z = -6z 27 + -6z = -9 + 3z + -3z Combine like terms: 3z + -3z = 0 27 + -6z = -9 + 0 27 + -6z = -9 Add '-27' to each side of the equation. 27 + -27 + -6z = -9 + -27 Combine like terms: 27 + -27 = 0 0 + -6z = -9 + -27 -6z = -9 + -27 Combine like terms: -9 + -27 = -36 -6z = -36 Divide each side by '-6'. z = 6 Simplifying z = 6
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