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Simplifying -29 + 6z = -8(5z + -9) Reorder the terms: -29 + 6z = -8(-9 + 5z) -29 + 6z = (-9 * -8 + 5z * -8) -29 + 6z = (72 + -40z) Solving -29 + 6z = 72 + -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. -29 + 6z + 40z = 72 + -40z + 40z Combine like terms: 6z + 40z = 46z -29 + 46z = 72 + -40z + 40z Combine like terms: -40z + 40z = 0 -29 + 46z = 72 + 0 -29 + 46z = 72 Add '29' to each side of the equation. -29 + 29 + 46z = 72 + 29 Combine like terms: -29 + 29 = 0 0 + 46z = 72 + 29 46z = 72 + 29 Combine like terms: 72 + 29 = 101 46z = 101 Divide each side by '46'. z = 2.195652174 Simplifying z = 2.195652174
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