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Simplifying 7 + z = 8z + -13 Reorder the terms: 7 + z = -13 + 8z Solving 7 + z = -13 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 7 + z + -8z = -13 + 8z + -8z Combine like terms: z + -8z = -7z 7 + -7z = -13 + 8z + -8z Combine like terms: 8z + -8z = 0 7 + -7z = -13 + 0 7 + -7z = -13 Add '-7' to each side of the equation. 7 + -7 + -7z = -13 + -7 Combine like terms: 7 + -7 = 0 0 + -7z = -13 + -7 -7z = -13 + -7 Combine like terms: -13 + -7 = -20 -7z = -20 Divide each side by '-7'. z = 2.857142857 Simplifying z = 2.857142857
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