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Simplifying 3 + -4z = -5 + 8z Solving 3 + -4z = -5 + 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. 3 + -4z + -8z = -5 + 8z + -8z Combine like terms: -4z + -8z = -12z 3 + -12z = -5 + 8z + -8z Combine like terms: 8z + -8z = 0 3 + -12z = -5 + 0 3 + -12z = -5 Add '-3' to each side of the equation. 3 + -3 + -12z = -5 + -3 Combine like terms: 3 + -3 = 0 0 + -12z = -5 + -3 -12z = -5 + -3 Combine like terms: -5 + -3 = -8 -12z = -8 Divide each side by '-12'. z = 0.6666666667 Simplifying z = 0.6666666667
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