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Simplifying 8 + 4z + -5 = 8z + 13 + -2z Reorder the terms: 8 + -5 + 4z = 8z + 13 + -2z Combine like terms: 8 + -5 = 3 3 + 4z = 8z + 13 + -2z Reorder the terms: 3 + 4z = 13 + 8z + -2z Combine like terms: 8z + -2z = 6z 3 + 4z = 13 + 6z Solving 3 + 4z = 13 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 3 + 4z + -6z = 13 + 6z + -6z Combine like terms: 4z + -6z = -2z 3 + -2z = 13 + 6z + -6z Combine like terms: 6z + -6z = 0 3 + -2z = 13 + 0 3 + -2z = 13 Add '-3' to each side of the equation. 3 + -3 + -2z = 13 + -3 Combine like terms: 3 + -3 = 0 0 + -2z = 13 + -3 -2z = 13 + -3 Combine like terms: 13 + -3 = 10 -2z = 10 Divide each side by '-2'. z = -5 Simplifying z = -5
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