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