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Simplifying 4 + -8z + -5 = 3z + 8 + -14 Reorder the terms: 4 + -5 + -8z = 3z + 8 + -14 Combine like terms: 4 + -5 = -1 -1 + -8z = 3z + 8 + -14 Reorder the terms: -1 + -8z = 8 + -14 + 3z Combine like terms: 8 + -14 = -6 -1 + -8z = -6 + 3z Solving -1 + -8z = -6 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -1 + -8z + -3z = -6 + 3z + -3z Combine like terms: -8z + -3z = -11z -1 + -11z = -6 + 3z + -3z Combine like terms: 3z + -3z = 0 -1 + -11z = -6 + 0 -1 + -11z = -6 Add '1' to each side of the equation. -1 + 1 + -11z = -6 + 1 Combine like terms: -1 + 1 = 0 0 + -11z = -6 + 1 -11z = -6 + 1 Combine like terms: -6 + 1 = -5 -11z = -5 Divide each side by '-11'. z = 0.4545454545 Simplifying z = 0.4545454545
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