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Simplifying 5z + -8(100 + -1z) = 40 + -1z 5z + (100 * -8 + -1z * -8) = 40 + -1z 5z + (-800 + 8z) = 40 + -1z Reorder the terms: -800 + 5z + 8z = 40 + -1z Combine like terms: 5z + 8z = 13z -800 + 13z = 40 + -1z Solving -800 + 13z = 40 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. -800 + 13z + z = 40 + -1z + z Combine like terms: 13z + z = 14z -800 + 14z = 40 + -1z + z Combine like terms: -1z + z = 0 -800 + 14z = 40 + 0 -800 + 14z = 40 Add '800' to each side of the equation. -800 + 800 + 14z = 40 + 800 Combine like terms: -800 + 800 = 0 0 + 14z = 40 + 800 14z = 40 + 800 Combine like terms: 40 + 800 = 840 14z = 840 Divide each side by '14'. z = 60 Simplifying z = 60
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