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Simplifying 5 + 5z + -3 = 8z + 20 + -6z Reorder the terms: 5 + -3 + 5z = 8z + 20 + -6z Combine like terms: 5 + -3 = 2 2 + 5z = 8z + 20 + -6z Reorder the terms: 2 + 5z = 20 + 8z + -6z Combine like terms: 8z + -6z = 2z 2 + 5z = 20 + 2z Solving 2 + 5z = 20 + 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. 2 + 5z + -2z = 20 + 2z + -2z Combine like terms: 5z + -2z = 3z 2 + 3z = 20 + 2z + -2z Combine like terms: 2z + -2z = 0 2 + 3z = 20 + 0 2 + 3z = 20 Add '-2' to each side of the equation. 2 + -2 + 3z = 20 + -2 Combine like terms: 2 + -2 = 0 0 + 3z = 20 + -2 3z = 20 + -2 Combine like terms: 20 + -2 = 18 3z = 18 Divide each side by '3'. z = 6 Simplifying z = 6
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