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Simplifying 5 + -32 + -18 = z + -1 + 8z Combine like terms: 5 + -32 = -27 -27 + -18 = z + -1 + 8z Combine like terms: -27 + -18 = -45 -45 = z + -1 + 8z Reorder the terms: -45 = -1 + z + 8z Combine like terms: z + 8z = 9z -45 = -1 + 9z Solving -45 = -1 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -45 + -9z = -1 + 9z + -9z Combine like terms: 9z + -9z = 0 -45 + -9z = -1 + 0 -45 + -9z = -1 Add '45' to each side of the equation. -45 + 45 + -9z = -1 + 45 Combine like terms: -45 + 45 = 0 0 + -9z = -1 + 45 -9z = -1 + 45 Combine like terms: -1 + 45 = 44 -9z = 44 Divide each side by '-9'. z = -4.888888889 Simplifying z = -4.888888889
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