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Simplifying z + 8 = 5z + 4(z + 3) Reorder the terms: 8 + z = 5z + 4(z + 3) Reorder the terms: 8 + z = 5z + 4(3 + z) 8 + z = 5z + (3 * 4 + z * 4) 8 + z = 5z + (12 + 4z) Reorder the terms: 8 + z = 12 + 5z + 4z Combine like terms: 5z + 4z = 9z 8 + z = 12 + 9z Solving 8 + z = 12 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 8 + z + -9z = 12 + 9z + -9z Combine like terms: z + -9z = -8z 8 + -8z = 12 + 9z + -9z Combine like terms: 9z + -9z = 0 8 + -8z = 12 + 0 8 + -8z = 12 Add '-8' to each side of the equation. 8 + -8 + -8z = 12 + -8 Combine like terms: 8 + -8 = 0 0 + -8z = 12 + -8 -8z = 12 + -8 Combine like terms: 12 + -8 = 4 -8z = 4 Divide each side by '-8'. z = -0.5 Simplifying z = -0.5
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