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Simplifying 4 + -8z + -1 = 7z + 35 + -3z Reorder the terms: 4 + -1 + -8z = 7z + 35 + -3z Combine like terms: 4 + -1 = 3 3 + -8z = 7z + 35 + -3z Reorder the terms: 3 + -8z = 35 + 7z + -3z Combine like terms: 7z + -3z = 4z 3 + -8z = 35 + 4z Solving 3 + -8z = 35 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 3 + -8z + -4z = 35 + 4z + -4z Combine like terms: -8z + -4z = -12z 3 + -12z = 35 + 4z + -4z Combine like terms: 4z + -4z = 0 3 + -12z = 35 + 0 3 + -12z = 35 Add '-3' to each side of the equation. 3 + -3 + -12z = 35 + -3 Combine like terms: 3 + -3 = 0 0 + -12z = 35 + -3 -12z = 35 + -3 Combine like terms: 35 + -3 = 32 -12z = 32 Divide each side by '-12'. z = -2.666666667 Simplifying z = -2.666666667
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