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Simplifying 29 + 8z = 7(9z + -3) Reorder the terms: 29 + 8z = 7(-3 + 9z) 29 + 8z = (-3 * 7 + 9z * 7) 29 + 8z = (-21 + 63z) Solving 29 + 8z = -21 + 63z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-63z' to each side of the equation. 29 + 8z + -63z = -21 + 63z + -63z Combine like terms: 8z + -63z = -55z 29 + -55z = -21 + 63z + -63z Combine like terms: 63z + -63z = 0 29 + -55z = -21 + 0 29 + -55z = -21 Add '-29' to each side of the equation. 29 + -29 + -55z = -21 + -29 Combine like terms: 29 + -29 = 0 0 + -55z = -21 + -29 -55z = -21 + -29 Combine like terms: -21 + -29 = -50 -55z = -50 Divide each side by '-55'. z = 0.9090909091 Simplifying z = 0.9090909091
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