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Simplifying 5(2z + -5) = 9(z + 2) Reorder the terms: 5(-5 + 2z) = 9(z + 2) (-5 * 5 + 2z * 5) = 9(z + 2) (-25 + 10z) = 9(z + 2) Reorder the terms: -25 + 10z = 9(2 + z) -25 + 10z = (2 * 9 + z * 9) -25 + 10z = (18 + 9z) Solving -25 + 10z = 18 + 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. -25 + 10z + -9z = 18 + 9z + -9z Combine like terms: 10z + -9z = 1z -25 + 1z = 18 + 9z + -9z Combine like terms: 9z + -9z = 0 -25 + 1z = 18 + 0 -25 + 1z = 18 Add '25' to each side of the equation. -25 + 25 + 1z = 18 + 25 Combine like terms: -25 + 25 = 0 0 + 1z = 18 + 25 1z = 18 + 25 Combine like terms: 18 + 25 = 43 1z = 43 Divide each side by '1'. z = 43 Simplifying z = 43
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