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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 = 50 50 + 8z = 50 + z Add '-50' to each side of the equation. 50 + -50 + 8z = 50 + -50 + z Combine like terms: 50 + -50 = 0 0 + 8z = 50 + -50 + z 8z = 50 + -50 + z Combine like terms: 50 + -50 = 0 8z = 0 + z 8z = z Solving 8z = 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. 8z + -1z = z + -1z Combine like terms: 8z + -1z = 7z 7z = z + -1z Combine like terms: z + -1z = 0 7z = 0 Divide each side by '7'. z = 0 Simplifying z = 0
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