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Simplifying -89(z + -54) = z + 63 Reorder the terms: -89(-54 + z) = z + 63 (-54 * -89 + z * -89) = z + 63 (4806 + -89z) = z + 63 Reorder the terms: 4806 + -89z = 63 + z Solving 4806 + -89z = 63 + 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. 4806 + -89z + -1z = 63 + z + -1z Combine like terms: -89z + -1z = -90z 4806 + -90z = 63 + z + -1z Combine like terms: z + -1z = 0 4806 + -90z = 63 + 0 4806 + -90z = 63 Add '-4806' to each side of the equation. 4806 + -4806 + -90z = 63 + -4806 Combine like terms: 4806 + -4806 = 0 0 + -90z = 63 + -4806 -90z = 63 + -4806 Combine like terms: 63 + -4806 = -4743 -90z = -4743 Divide each side by '-90'. z = 52.7 Simplifying z = 52.7
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