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Simplifying 8z + -14 = -29 + 5z Reorder the terms: -14 + 8z = -29 + 5z Solving -14 + 8z = -29 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -14 + 8z + -5z = -29 + 5z + -5z Combine like terms: 8z + -5z = 3z -14 + 3z = -29 + 5z + -5z Combine like terms: 5z + -5z = 0 -14 + 3z = -29 + 0 -14 + 3z = -29 Add '14' to each side of the equation. -14 + 14 + 3z = -29 + 14 Combine like terms: -14 + 14 = 0 0 + 3z = -29 + 14 3z = -29 + 14 Combine like terms: -29 + 14 = -15 3z = -15 Divide each side by '3'. z = -5 Simplifying z = -5
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