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Simplifying 7(z + -5) = 5(z + 3) Reorder the terms: 7(-5 + z) = 5(z + 3) (-5 * 7 + z * 7) = 5(z + 3) (-35 + 7z) = 5(z + 3) Reorder the terms: -35 + 7z = 5(3 + z) -35 + 7z = (3 * 5 + z * 5) -35 + 7z = (15 + 5z) Solving -35 + 7z = 15 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -35 + 7z + -5z = 15 + 5z + -5z Combine like terms: 7z + -5z = 2z -35 + 2z = 15 + 5z + -5z Combine like terms: 5z + -5z = 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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