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Simplifying 9(z + 3) = 10z + -9 Reorder the terms: 9(3 + z) = 10z + -9 (3 * 9 + z * 9) = 10z + -9 (27 + 9z) = 10z + -9 Reorder the terms: 27 + 9z = -9 + 10z Solving 27 + 9z = -9 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. 27 + 9z + -10z = -9 + 10z + -10z Combine like terms: 9z + -10z = -1z 27 + -1z = -9 + 10z + -10z Combine like terms: 10z + -10z = 0 27 + -1z = -9 + 0 27 + -1z = -9 Add '-27' to each side of the equation. 27 + -27 + -1z = -9 + -27 Combine like terms: 27 + -27 = 0 0 + -1z = -9 + -27 -1z = -9 + -27 Combine like terms: -9 + -27 = -36 -1z = -36 Divide each side by '-1'. z = 36 Simplifying z = 36
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