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Simplifying 1z + 3 = 29 + -2z Reorder the terms: 3 + 1z = 29 + -2z Solving 3 + 1z = 29 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 3 + 1z + 2z = 29 + -2z + 2z Combine like terms: 1z + 2z = 3z 3 + 3z = 29 + -2z + 2z Combine like terms: -2z + 2z = 0 3 + 3z = 29 + 0 3 + 3z = 29 Add '-3' to each side of the equation. 3 + -3 + 3z = 29 + -3 Combine like terms: 3 + -3 = 0 0 + 3z = 29 + -3 3z = 29 + -3 Combine like terms: 29 + -3 = 26 3z = 26 Divide each side by '3'. z = 8.666666667 Simplifying z = 8.666666667
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