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Simplifying -32 + 2z = 5(8z + -9) Reorder the terms: -32 + 2z = 5(-9 + 8z) -32 + 2z = (-9 * 5 + 8z * 5) -32 + 2z = (-45 + 40z) Solving -32 + 2z = -45 + 40z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-40z' to each side of the equation. -32 + 2z + -40z = -45 + 40z + -40z Combine like terms: 2z + -40z = -38z -32 + -38z = -45 + 40z + -40z Combine like terms: 40z + -40z = 0 -32 + -38z = -45 + 0 -32 + -38z = -45 Add '32' to each side of the equation. -32 + 32 + -38z = -45 + 32 Combine like terms: -32 + 32 = 0 0 + -38z = -45 + 32 -38z = -45 + 32 Combine like terms: -45 + 32 = -13 -38z = -13 Divide each side by '-38'. z = 0.3421052632 Simplifying z = 0.3421052632
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