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