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Simplifying 4z + -29 = 3 + 8z Reorder the terms: -29 + 4z = 3 + 8z Solving -29 + 4z = 3 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -29 + 4z + -8z = 3 + 8z + -8z Combine like terms: 4z + -8z = -4z -29 + -4z = 3 + 8z + -8z Combine like terms: 8z + -8z = 0 -29 + -4z = 3 + 0 -29 + -4z = 3 Add '29' to each side of the equation. -29 + 29 + -4z = 3 + 29 Combine like terms: -29 + 29 = 0 0 + -4z = 3 + 29 -4z = 3 + 29 Combine like terms: 3 + 29 = 32 -4z = 32 Divide each side by '-4'. z = -8 Simplifying z = -8
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