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Simplifying 5(z + -7) = z Reorder the terms: 5(-7 + z) = z (-7 * 5 + z * 5) = z (-35 + 5z) = z Solving -35 + 5z = z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -35 + 5z + -1z = z + -1z Combine like terms: 5z + -1z = 4z -35 + 4z = z + -1z Combine like terms: z + -1z = 0 -35 + 4z = 0 Add '35' to each side of the equation. -35 + 35 + 4z = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 4z = 0 + 35 4z = 0 + 35 Combine like terms: 0 + 35 = 35 4z = 35 Divide each side by '4'. z = 8.75 Simplifying z = 8.75
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