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Simplifying 5(z + 1) = z + 8 Reorder the terms: 5(1 + z) = z + 8 (1 * 5 + z * 5) = z + 8 (5 + 5z) = z + 8 Reorder the terms: 5 + 5z = 8 + z Solving 5 + 5z = 8 + 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. 5 + 5z + -1z = 8 + z + -1z Combine like terms: 5z + -1z = 4z 5 + 4z = 8 + z + -1z Combine like terms: z + -1z = 0 5 + 4z = 8 + 0 5 + 4z = 8 Add '-5' to each side of the equation. 5 + -5 + 4z = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 4z = 8 + -5 4z = 8 + -5 Combine like terms: 8 + -5 = 3 4z = 3 Divide each side by '4'. z = 0.75 Simplifying z = 0.75
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