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Simplifying 5(2z + -3) = 9(z + 4) Reorder the terms: 5(-3 + 2z) = 9(z + 4) (-3 * 5 + 2z * 5) = 9(z + 4) (-15 + 10z) = 9(z + 4) Reorder the terms: -15 + 10z = 9(4 + z) -15 + 10z = (4 * 9 + z * 9) -15 + 10z = (36 + 9z) Solving -15 + 10z = 36 + 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 = 36 + 9z + -9z Combine like terms: 10z + -9z = 1z -15 + 1z = 36 + 9z + -9z Combine like terms: 9z + -9z = 0 -15 + 1z = 36 + 0 -15 + 1z = 36 Add '15' to each side of the equation. -15 + 15 + 1z = 36 + 15 Combine like terms: -15 + 15 = 0 0 + 1z = 36 + 15 1z = 36 + 15 Combine like terms: 36 + 15 = 51 1z = 51 Divide each side by '1'. z = 51 Simplifying z = 51
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