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Simplifying 7z + 10 + -2 = 8z + -2(z + -5) Reorder the terms: 10 + -2 + 7z = 8z + -2(z + -5) Combine like terms: 10 + -2 = 8 8 + 7z = 8z + -2(z + -5) Reorder the terms: 8 + 7z = 8z + -2(-5 + z) 8 + 7z = 8z + (-5 * -2 + z * -2) 8 + 7z = 8z + (10 + -2z) Reorder the terms: 8 + 7z = 10 + 8z + -2z Combine like terms: 8z + -2z = 6z 8 + 7z = 10 + 6z Solving 8 + 7z = 10 + 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. 8 + 7z + -6z = 10 + 6z + -6z Combine like terms: 7z + -6z = 1z 8 + 1z = 10 + 6z + -6z Combine like terms: 6z + -6z = 0 8 + 1z = 10 + 0 8 + 1z = 10 Add '-8' to each side of the equation. 8 + -8 + 1z = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 1z = 10 + -8 1z = 10 + -8 Combine like terms: 10 + -8 = 2 1z = 2 Divide each side by '1'. z = 2 Simplifying z = 2
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