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Simplifying 20z + 1.5(6z + -48) + -9z = 14z + 0.2(50z + -250) + -9z Reorder the terms: 20z + 1.5(-48 + 6z) + -9z = 14z + 0.2(50z + -250) + -9z 20z + (-48 * 1.5 + 6z * 1.5) + -9z = 14z + 0.2(50z + -250) + -9z 20z + (-72 + 9z) + -9z = 14z + 0.2(50z + -250) + -9z Reorder the terms: -72 + 20z + 9z + -9z = 14z + 0.2(50z + -250) + -9z Combine like terms: 20z + 9z = 29z -72 + 29z + -9z = 14z + 0.2(50z + -250) + -9z Combine like terms: 29z + -9z = 20z -72 + 20z = 14z + 0.2(50z + -250) + -9z Reorder the terms: -72 + 20z = 14z + 0.2(-250 + 50z) + -9z -72 + 20z = 14z + (-250 * 0.2 + 50z * 0.2) + -9z -72 + 20z = 14z + (-50 + 10z) + -9z Reorder the terms: -72 + 20z = -50 + 14z + 10z + -9z Combine like terms: 14z + 10z = 24z -72 + 20z = -50 + 24z + -9z Combine like terms: 24z + -9z = 15z -72 + 20z = -50 + 15z Solving -72 + 20z = -50 + 15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-15z' to each side of the equation. -72 + 20z + -15z = -50 + 15z + -15z Combine like terms: 20z + -15z = 5z -72 + 5z = -50 + 15z + -15z Combine like terms: 15z + -15z = 0 -72 + 5z = -50 + 0 -72 + 5z = -50 Add '72' to each side of the equation. -72 + 72 + 5z = -50 + 72 Combine like terms: -72 + 72 = 0 0 + 5z = -50 + 72 5z = -50 + 72 Combine like terms: -50 + 72 = 22 5z = 22 Divide each side by '5'. z = 4.4 Simplifying z = 4.4
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