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Simplifying 5(z + -7) = 4z Reorder the terms: 5(-7 + z) = 4z (-7 * 5 + z * 5) = 4z (-35 + 5z) = 4z Solving -35 + 5z = 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -35 + 5z + -4z = 4z + -4z Combine like terms: 5z + -4z = 1z -35 + 1z = 4z + -4z Combine like terms: 4z + -4z = 0 -35 + 1z = 0 Add '35' to each side of the equation. -35 + 35 + 1z = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 1z = 0 + 35 1z = 0 + 35 Combine like terms: 0 + 35 = 35 1z = 35 Divide each side by '1'. z = 35 Simplifying z = 35
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