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Simplifying -23 = 8(4z + -9) Reorder the terms: -23 = 8(-9 + 4z) -23 = (-9 * 8 + 4z * 8) -23 = (-72 + 32z) Solving -23 = -72 + 32z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-32z' to each side of the equation. -23 + -32z = -72 + 32z + -32z Combine like terms: 32z + -32z = 0 -23 + -32z = -72 + 0 -23 + -32z = -72 Add '23' to each side of the equation. -23 + 23 + -32z = -72 + 23 Combine like terms: -23 + 23 = 0 0 + -32z = -72 + 23 -32z = -72 + 23 Combine like terms: -72 + 23 = -49 -32z = -49 Divide each side by '-32'. z = 1.53125 Simplifying z = 1.53125
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