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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 = 4z 3 + 4z = -5 + -8z + 8z Combine like terms: -8z + 8z = 0 3 + 4z = -5 + 0 3 + 4z = -5 Add '-3' to each side of the equation. 3 + -3 + 4z = -5 + -3 Combine like terms: 3 + -3 = 0 0 + 4z = -5 + -3 4z = -5 + -3 Combine like terms: -5 + -3 = -8 4z = -8 Divide each side by '4'. z = -2 Simplifying z = -2
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