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Simplifying 6(2z + 10) + 8 = 5z + 5 Reorder the terms: 6(10 + 2z) + 8 = 5z + 5 (10 * 6 + 2z * 6) + 8 = 5z + 5 (60 + 12z) + 8 = 5z + 5 Reorder the terms: 60 + 8 + 12z = 5z + 5 Combine like terms: 60 + 8 = 68 68 + 12z = 5z + 5 Reorder the terms: 68 + 12z = 5 + 5z Solving 68 + 12z = 5 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 68 + 12z + -5z = 5 + 5z + -5z Combine like terms: 12z + -5z = 7z 68 + 7z = 5 + 5z + -5z Combine like terms: 5z + -5z = 0 68 + 7z = 5 + 0 68 + 7z = 5 Add '-68' to each side of the equation. 68 + -68 + 7z = 5 + -68 Combine like terms: 68 + -68 = 0 0 + 7z = 5 + -68 7z = 5 + -68 Combine like terms: 5 + -68 = -63 7z = -63 Divide each side by '7'. z = -9 Simplifying z = -9
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