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Simplifying -5(-9z + 13) = 7(5z + 19) + -8 Reorder the terms: -5(13 + -9z) = 7(5z + 19) + -8 (13 * -5 + -9z * -5) = 7(5z + 19) + -8 (-65 + 45z) = 7(5z + 19) + -8 Reorder the terms: -65 + 45z = 7(19 + 5z) + -8 -65 + 45z = (19 * 7 + 5z * 7) + -8 -65 + 45z = (133 + 35z) + -8 Reorder the terms: -65 + 45z = 133 + -8 + 35z Combine like terms: 133 + -8 = 125 -65 + 45z = 125 + 35z Solving -65 + 45z = 125 + 35z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-35z' to each side of the equation. -65 + 45z + -35z = 125 + 35z + -35z Combine like terms: 45z + -35z = 10z -65 + 10z = 125 + 35z + -35z Combine like terms: 35z + -35z = 0 -65 + 10z = 125 + 0 -65 + 10z = 125 Add '65' to each side of the equation. -65 + 65 + 10z = 125 + 65 Combine like terms: -65 + 65 = 0 0 + 10z = 125 + 65 10z = 125 + 65 Combine like terms: 125 + 65 = 190 10z = 190 Divide each side by '10'. z = 19 Simplifying z = 19
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