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Simplifying 70z + 560 + 126z = 150 + -140z Reorder the terms: 560 + 70z + 126z = 150 + -140z Combine like terms: 70z + 126z = 196z 560 + 196z = 150 + -140z Solving 560 + 196z = 150 + -140z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '140z' to each side of the equation. 560 + 196z + 140z = 150 + -140z + 140z Combine like terms: 196z + 140z = 336z 560 + 336z = 150 + -140z + 140z Combine like terms: -140z + 140z = 0 560 + 336z = 150 + 0 560 + 336z = 150 Add '-560' to each side of the equation. 560 + -560 + 336z = 150 + -560 Combine like terms: 560 + -560 = 0 0 + 336z = 150 + -560 336z = 150 + -560 Combine like terms: 150 + -560 = -410 336z = -410 Divide each side by '336'. z = -1.220238095 Simplifying z = -1.220238095
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