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Simplifying -90(z + -87) = z + -1(-82) Reorder the terms: -90(-87 + z) = z + -1(-82) (-87 * -90 + z * -90) = z + -1(-82) (7830 + -90z) = z + -1(-82) Multiply -1 * -82 7830 + -90z = z + 82 Reorder the terms: 7830 + -90z = 82 + z Solving 7830 + -90z = 82 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 7830 + -90z + -1z = 82 + z + -1z Combine like terms: -90z + -1z = -91z 7830 + -91z = 82 + z + -1z Combine like terms: z + -1z = 0 7830 + -91z = 82 + 0 7830 + -91z = 82 Add '-7830' to each side of the equation. 7830 + -7830 + -91z = 82 + -7830 Combine like terms: 7830 + -7830 = 0 0 + -91z = 82 + -7830 -91z = 82 + -7830 Combine like terms: 82 + -7830 = -7748 -91z = -7748 Divide each side by '-91'. z = 85.14285714 Simplifying z = 85.14285714
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