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Simplifying 10(z + 8) = z + 6 Reorder the terms: 10(8 + z) = z + 6 (8 * 10 + z * 10) = z + 6 (80 + 10z) = z + 6 Reorder the terms: 80 + 10z = 6 + z Solving 80 + 10z = 6 + 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. 80 + 10z + -1z = 6 + z + -1z Combine like terms: 10z + -1z = 9z 80 + 9z = 6 + z + -1z Combine like terms: z + -1z = 0 80 + 9z = 6 + 0 80 + 9z = 6 Add '-80' to each side of the equation. 80 + -80 + 9z = 6 + -80 Combine like terms: 80 + -80 = 0 0 + 9z = 6 + -80 9z = 6 + -80 Combine like terms: 6 + -80 = -74 9z = -74 Divide each side by '9'. z = -8.222222222 Simplifying z = -8.222222222
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