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Simplifying 5(z + -8) = 10 + -2z Reorder the terms: 5(-8 + z) = 10 + -2z (-8 * 5 + z * 5) = 10 + -2z (-40 + 5z) = 10 + -2z Solving -40 + 5z = 10 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. -40 + 5z + 2z = 10 + -2z + 2z Combine like terms: 5z + 2z = 7z -40 + 7z = 10 + -2z + 2z Combine like terms: -2z + 2z = 0 -40 + 7z = 10 + 0 -40 + 7z = 10 Add '40' to each side of the equation. -40 + 40 + 7z = 10 + 40 Combine like terms: -40 + 40 = 0 0 + 7z = 10 + 40 7z = 10 + 40 Combine like terms: 10 + 40 = 50 7z = 50 Divide each side by '7'. z = 7.142857143 Simplifying z = 7.142857143
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