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Simplifying 5 + 2z + -3 = 8z + 11 + -5z Reorder the terms: 5 + -3 + 2z = 8z + 11 + -5z Combine like terms: 5 + -3 = 2 2 + 2z = 8z + 11 + -5z Reorder the terms: 2 + 2z = 11 + 8z + -5z Combine like terms: 8z + -5z = 3z 2 + 2z = 11 + 3z Solving 2 + 2z = 11 + 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. 2 + 2z + -3z = 11 + 3z + -3z Combine like terms: 2z + -3z = -1z 2 + -1z = 11 + 3z + -3z Combine like terms: 3z + -3z = 0 2 + -1z = 11 + 0 2 + -1z = 11 Add '-2' to each side of the equation. 2 + -2 + -1z = 11 + -2 Combine like terms: 2 + -2 = 0 0 + -1z = 11 + -2 -1z = 11 + -2 Combine like terms: 11 + -2 = 9 -1z = 9 Divide each side by '-1'. z = -9 Simplifying z = -9
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