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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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