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Simplifying 23z + -29 = 17z + 13 Reorder the terms: -29 + 23z = 17z + 13 Reorder the terms: -29 + 23z = 13 + 17z Solving -29 + 23z = 13 + 17z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-17z' to each side of the equation. -29 + 23z + -17z = 13 + 17z + -17z Combine like terms: 23z + -17z = 6z -29 + 6z = 13 + 17z + -17z Combine like terms: 17z + -17z = 0 -29 + 6z = 13 + 0 -29 + 6z = 13 Add '29' to each side of the equation. -29 + 29 + 6z = 13 + 29 Combine like terms: -29 + 29 = 0 0 + 6z = 13 + 29 6z = 13 + 29 Combine like terms: 13 + 29 = 42 6z = 42 Divide each side by '6'. z = 7 Simplifying z = 7
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