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Simplifying 8 + 5z + -5 = 6z + 18 + -4z Reorder the terms: 8 + -5 + 5z = 6z + 18 + -4z Combine like terms: 8 + -5 = 3 3 + 5z = 6z + 18 + -4z Reorder the terms: 3 + 5z = 18 + 6z + -4z Combine like terms: 6z + -4z = 2z 3 + 5z = 18 + 2z Solving 3 + 5z = 18 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 3 + 5z + -2z = 18 + 2z + -2z Combine like terms: 5z + -2z = 3z 3 + 3z = 18 + 2z + -2z Combine like terms: 2z + -2z = 0 3 + 3z = 18 + 0 3 + 3z = 18 Add '-3' to each side of the equation. 3 + -3 + 3z = 18 + -3 Combine like terms: 3 + -3 = 0 0 + 3z = 18 + -3 3z = 18 + -3 Combine like terms: 18 + -3 = 15 3z = 15 Divide each side by '3'. z = 5 Simplifying z = 5
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