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Simplifying 5(z + -7) + 7z = 5 + -3z Reorder the terms: 5(-7 + z) + 7z = 5 + -3z (-7 * 5 + z * 5) + 7z = 5 + -3z (-35 + 5z) + 7z = 5 + -3z Combine like terms: 5z + 7z = 12z -35 + 12z = 5 + -3z Solving -35 + 12z = 5 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. -35 + 12z + 3z = 5 + -3z + 3z Combine like terms: 12z + 3z = 15z -35 + 15z = 5 + -3z + 3z Combine like terms: -3z + 3z = 0 -35 + 15z = 5 + 0 -35 + 15z = 5 Add '35' to each side of the equation. -35 + 35 + 15z = 5 + 35 Combine like terms: -35 + 35 = 0 0 + 15z = 5 + 35 15z = 5 + 35 Combine like terms: 5 + 35 = 40 15z = 40 Divide each side by '15'. z = 2.666666667 Simplifying z = 2.666666667
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