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Simplifying 5(z + -7) = 3(z + 5) Reorder the terms: 5(-7 + z) = 3(z + 5) (-7 * 5 + z * 5) = 3(z + 5) (-35 + 5z) = 3(z + 5) Reorder the terms: -35 + 5z = 3(5 + z) -35 + 5z = (5 * 3 + z * 3) -35 + 5z = (15 + 3z) Solving -35 + 5z = 15 + 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 + 5z + -3z = 15 + 3z + -3z Combine like terms: 5z + -3z = 2z -35 + 2z = 15 + 3z + -3z Combine like terms: 3z + -3z = 0 -35 + 2z = 15 + 0 -35 + 2z = 15 Add '35' to each side of the equation. -35 + 35 + 2z = 15 + 35 Combine like terms: -35 + 35 = 0 0 + 2z = 15 + 35 2z = 15 + 35 Combine like terms: 15 + 35 = 50 2z = 50 Divide each side by '2'. z = 25 Simplifying z = 25
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