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Simplifying 5(2z + -3) = 9(z + 3) Reorder the terms: 5(-3 + 2z) = 9(z + 3) (-3 * 5 + 2z * 5) = 9(z + 3) (-15 + 10z) = 9(z + 3) Reorder the terms: -15 + 10z = 9(3 + z) -15 + 10z = (3 * 9 + z * 9) -15 + 10z = (27 + 9z) Solving -15 + 10z = 27 + 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. -15 + 10z + -9z = 27 + 9z + -9z Combine like terms: 10z + -9z = 1z -15 + 1z = 27 + 9z + -9z Combine like terms: 9z + -9z = 0 -15 + 1z = 27 + 0 -15 + 1z = 27 Add '15' to each side of the equation. -15 + 15 + 1z = 27 + 15 Combine like terms: -15 + 15 = 0 0 + 1z = 27 + 15 1z = 27 + 15 Combine like terms: 27 + 15 = 42 1z = 42 Divide each side by '1'. z = 42 Simplifying z = 42
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