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Simplifying 5 + -3z + -18 = z + -1 + 8z Reorder the terms: 5 + -18 + -3z = z + -1 + 8z Combine like terms: 5 + -18 = -13 -13 + -3z = z + -1 + 8z Reorder the terms: -13 + -3z = -1 + z + 8z Combine like terms: z + 8z = 9z -13 + -3z = -1 + 9z Solving -13 + -3z = -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. -13 + -3z + -9z = -1 + 9z + -9z Combine like terms: -3z + -9z = -12z -13 + -12z = -1 + 9z + -9z Combine like terms: 9z + -9z = 0 -13 + -12z = -1 + 0 -13 + -12z = -1 Add '13' to each side of the equation. -13 + 13 + -12z = -1 + 13 Combine like terms: -13 + 13 = 0 0 + -12z = -1 + 13 -12z = -1 + 13 Combine like terms: -1 + 13 = 12 -12z = 12 Divide each side by '-12'. z = -1 Simplifying z = -1
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