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Simplifying 5(z + -3) = 7(z + -5) Reorder the terms: 5(-3 + z) = 7(z + -5) (-3 * 5 + z * 5) = 7(z + -5) (-15 + 5z) = 7(z + -5) Reorder the terms: -15 + 5z = 7(-5 + z) -15 + 5z = (-5 * 7 + z * 7) -15 + 5z = (-35 + 7z) Solving -15 + 5z = -35 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -15 + 5z + -7z = -35 + 7z + -7z Combine like terms: 5z + -7z = -2z -15 + -2z = -35 + 7z + -7z Combine like terms: 7z + -7z = 0 -15 + -2z = -35 + 0 -15 + -2z = -35 Add '15' to each side of the equation. -15 + 15 + -2z = -35 + 15 Combine like terms: -15 + 15 = 0 0 + -2z = -35 + 15 -2z = -35 + 15 Combine like terms: -35 + 15 = -20 -2z = -20 Divide each side by '-2'. z = 10 Simplifying z = 10
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