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Simplifying 14(-10z + -10) + 15z = 9(7z + 17) + 10 + 9(6z + -15) Reorder the terms: 14(-10 + -10z) + 15z = 9(7z + 17) + 10 + 9(6z + -15) (-10 * 14 + -10z * 14) + 15z = 9(7z + 17) + 10 + 9(6z + -15) (-140 + -140z) + 15z = 9(7z + 17) + 10 + 9(6z + -15) Combine like terms: -140z + 15z = -125z -140 + -125z = 9(7z + 17) + 10 + 9(6z + -15) Reorder the terms: -140 + -125z = 9(17 + 7z) + 10 + 9(6z + -15) -140 + -125z = (17 * 9 + 7z * 9) + 10 + 9(6z + -15) -140 + -125z = (153 + 63z) + 10 + 9(6z + -15) Reorder the terms: -140 + -125z = 153 + 63z + 10 + 9(-15 + 6z) -140 + -125z = 153 + 63z + 10 + (-15 * 9 + 6z * 9) -140 + -125z = 153 + 63z + 10 + (-135 + 54z) Reorder the terms: -140 + -125z = 153 + 10 + -135 + 63z + 54z Combine like terms: 153 + 10 = 163 -140 + -125z = 163 + -135 + 63z + 54z Combine like terms: 163 + -135 = 28 -140 + -125z = 28 + 63z + 54z Combine like terms: 63z + 54z = 117z -140 + -125z = 28 + 117z Solving -140 + -125z = 28 + 117z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-117z' to each side of the equation. -140 + -125z + -117z = 28 + 117z + -117z Combine like terms: -125z + -117z = -242z -140 + -242z = 28 + 117z + -117z Combine like terms: 117z + -117z = 0 -140 + -242z = 28 + 0 -140 + -242z = 28 Add '140' to each side of the equation. -140 + 140 + -242z = 28 + 140 Combine like terms: -140 + 140 = 0 0 + -242z = 28 + 140 -242z = 28 + 140 Combine like terms: 28 + 140 = 168 -242z = 168 Divide each side by '-242'. z = -0.694214876 Simplifying z = -0.694214876
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