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