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Simplifying 7 + 5z + -3 = 8z + 11 + -2z Reorder the terms: 7 + -3 + 5z = 8z + 11 + -2z Combine like terms: 7 + -3 = 4 4 + 5z = 8z + 11 + -2z Reorder the terms: 4 + 5z = 11 + 8z + -2z Combine like terms: 8z + -2z = 6z 4 + 5z = 11 + 6z Solving 4 + 5z = 11 + 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. 4 + 5z + -6z = 11 + 6z + -6z Combine like terms: 5z + -6z = -1z 4 + -1z = 11 + 6z + -6z Combine like terms: 6z + -6z = 0 4 + -1z = 11 + 0 4 + -1z = 11 Add '-4' to each side of the equation. 4 + -4 + -1z = 11 + -4 Combine like terms: 4 + -4 = 0 0 + -1z = 11 + -4 -1z = 11 + -4 Combine like terms: 11 + -4 = 7 -1z = 7 Divide each side by '-1'. z = -7 Simplifying z = -7
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