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Simplifying -5 + -8(5z + -4) = 5(-7z + 9) + -1 Reorder the terms: -5 + -8(-4 + 5z) = 5(-7z + 9) + -1 -5 + (-4 * -8 + 5z * -8) = 5(-7z + 9) + -1 -5 + (32 + -40z) = 5(-7z + 9) + -1 Combine like terms: -5 + 32 = 27 27 + -40z = 5(-7z + 9) + -1 Reorder the terms: 27 + -40z = 5(9 + -7z) + -1 27 + -40z = (9 * 5 + -7z * 5) + -1 27 + -40z = (45 + -35z) + -1 Reorder the terms: 27 + -40z = 45 + -1 + -35z Combine like terms: 45 + -1 = 44 27 + -40z = 44 + -35z Solving 27 + -40z = 44 + -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. 27 + -40z + 35z = 44 + -35z + 35z Combine like terms: -40z + 35z = -5z 27 + -5z = 44 + -35z + 35z Combine like terms: -35z + 35z = 0 27 + -5z = 44 + 0 27 + -5z = 44 Add '-27' to each side of the equation. 27 + -27 + -5z = 44 + -27 Combine like terms: 27 + -27 = 0 0 + -5z = 44 + -27 -5z = 44 + -27 Combine like terms: 44 + -27 = 17 -5z = 17 Divide each side by '-5'. z = -3.4 Simplifying z = -3.4
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