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Simplifying -6z + 8 = z + 10 + -7 Reorder the terms: 8 + -6z = z + 10 + -7 Reorder the terms: 8 + -6z = 10 + -7 + z Combine like terms: 10 + -7 = 3 8 + -6z = 3 + z Solving 8 + -6z = 3 + 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. 8 + -6z + -1z = 3 + z + -1z Combine like terms: -6z + -1z = -7z 8 + -7z = 3 + z + -1z Combine like terms: z + -1z = 0 8 + -7z = 3 + 0 8 + -7z = 3 Add '-8' to each side of the equation. 8 + -8 + -7z = 3 + -8 Combine like terms: 8 + -8 = 0 0 + -7z = 3 + -8 -7z = 3 + -8 Combine like terms: 3 + -8 = -5 -7z = -5 Divide each side by '-7'. z = 0.7142857143 Simplifying z = 0.7142857143
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