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Simplifying z + 29 = 3z + -81 Reorder the terms: 29 + z = 3z + -81 Reorder the terms: 29 + z = -81 + 3z Solving 29 + z = -81 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 29 + z + -3z = -81 + 3z + -3z Combine like terms: z + -3z = -2z 29 + -2z = -81 + 3z + -3z Combine like terms: 3z + -3z = 0 29 + -2z = -81 + 0 29 + -2z = -81 Add '-29' to each side of the equation. 29 + -29 + -2z = -81 + -29 Combine like terms: 29 + -29 = 0 0 + -2z = -81 + -29 -2z = -81 + -29 Combine like terms: -81 + -29 = -110 -2z = -110 Divide each side by '-2'. z = 55 Simplifying z = 55
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