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Simplifying 9(z + -3) = 2(z + 1) Reorder the terms: 9(-3 + z) = 2(z + 1) (-3 * 9 + z * 9) = 2(z + 1) (-27 + 9z) = 2(z + 1) Reorder the terms: -27 + 9z = 2(1 + z) -27 + 9z = (1 * 2 + z * 2) -27 + 9z = (2 + 2z) Solving -27 + 9z = 2 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -27 + 9z + -2z = 2 + 2z + -2z Combine like terms: 9z + -2z = 7z -27 + 7z = 2 + 2z + -2z Combine like terms: 2z + -2z = 0 -27 + 7z = 2 + 0 -27 + 7z = 2 Add '27' to each side of the equation. -27 + 27 + 7z = 2 + 27 Combine like terms: -27 + 27 = 0 0 + 7z = 2 + 27 7z = 2 + 27 Combine like terms: 2 + 27 = 29 7z = 29 Divide each side by '7'. z = 4.142857143 Simplifying z = 4.142857143
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