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Simplifying -10z + 18(2z + 7) = 0 Reorder the terms: -10z + 18(7 + 2z) = 0 -10z + (7 * 18 + 2z * 18) = 0 -10z + (126 + 36z) = 0 Reorder the terms: 126 + -10z + 36z = 0 Combine like terms: -10z + 36z = 26z 126 + 26z = 0 Solving 126 + 26z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-126' to each side of the equation. 126 + -126 + 26z = 0 + -126 Combine like terms: 126 + -126 = 0 0 + 26z = 0 + -126 26z = 0 + -126 Combine like terms: 0 + -126 = -126 26z = -126 Divide each side by '26'. z = -4.846153846 Simplifying z = -4.846153846
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