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Simplifying 8(z + 7) + -6 = z + 60 + 10 Reorder the terms: 8(7 + z) + -6 = z + 60 + 10 (7 * 8 + z * 8) + -6 = z + 60 + 10 (56 + 8z) + -6 = z + 60 + 10 Reorder the terms: 56 + -6 + 8z = z + 60 + 10 Combine like terms: 56 + -6 = 50 50 + 8z = z + 60 + 10 Reorder the terms: 50 + 8z = 60 + 10 + z Combine like terms: 60 + 10 = 70 50 + 8z = 70 + z Solving 50 + 8z = 70 + 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. 50 + 8z + -1z = 70 + z + -1z Combine like terms: 8z + -1z = 7z 50 + 7z = 70 + z + -1z Combine like terms: z + -1z = 0 50 + 7z = 70 + 0 50 + 7z = 70 Add '-50' to each side of the equation. 50 + -50 + 7z = 70 + -50 Combine like terms: 50 + -50 = 0 0 + 7z = 70 + -50 7z = 70 + -50 Combine like terms: 70 + -50 = 20 7z = 20 Divide each side by '7'. z = 2.857142857 Simplifying z = 2.857142857
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