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Simplifying 8(z + 70) + -6 = z + 60 + -10 Reorder the terms: 8(70 + z) + -6 = z + 60 + -10 (70 * 8 + z * 8) + -6 = z + 60 + -10 (560 + 8z) + -6 = z + 60 + -10 Reorder the terms: 560 + -6 + 8z = z + 60 + -10 Combine like terms: 560 + -6 = 554 554 + 8z = z + 60 + -10 Reorder the terms: 554 + 8z = 60 + -10 + z Combine like terms: 60 + -10 = 50 554 + 8z = 50 + z Solving 554 + 8z = 50 + 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. 554 + 8z + -1z = 50 + z + -1z Combine like terms: 8z + -1z = 7z 554 + 7z = 50 + z + -1z Combine like terms: z + -1z = 0 554 + 7z = 50 + 0 554 + 7z = 50 Add '-554' to each side of the equation. 554 + -554 + 7z = 50 + -554 Combine like terms: 554 + -554 = 0 0 + 7z = 50 + -554 7z = 50 + -554 Combine like terms: 50 + -554 = -504 7z = -504 Divide each side by '7'. z = -72 Simplifying z = -72
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