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Simplifying 10 + 8z = z + -4 Reorder the terms: 10 + 8z = -4 + z Solving 10 + 8z = -4 + 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. 10 + 8z + -1z = -4 + z + -1z Combine like terms: 8z + -1z = 7z 10 + 7z = -4 + z + -1z Combine like terms: z + -1z = 0 10 + 7z = -4 + 0 10 + 7z = -4 Add '-10' to each side of the equation. 10 + -10 + 7z = -4 + -10 Combine like terms: 10 + -10 = 0 0 + 7z = -4 + -10 7z = -4 + -10 Combine like terms: -4 + -10 = -14 7z = -14 Divide each side by '7'. z = -2 Simplifying z = -2
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