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Simplifying 5(3z + 4) + -1z + -29 = 0 Reorder the terms: 5(4 + 3z) + -1z + -29 = 0 (4 * 5 + 3z * 5) + -1z + -29 = 0 (20 + 15z) + -1z + -29 = 0 Reorder the terms: 20 + -29 + 15z + -1z = 0 Combine like terms: 20 + -29 = -9 -9 + 15z + -1z = 0 Combine like terms: 15z + -1z = 14z -9 + 14z = 0 Solving -9 + 14z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 14z = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 14z = 0 + 9 14z = 0 + 9 Combine like terms: 0 + 9 = 9 14z = 9 Divide each side by '14'. z = 0.6428571429 Simplifying z = 0.6428571429
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