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Simplifying 7z + 10 + -1z = 8z + -2(x + -5) Reorder the terms: 10 + 7z + -1z = 8z + -2(x + -5) Combine like terms: 7z + -1z = 6z 10 + 6z = 8z + -2(x + -5) Reorder the terms: 10 + 6z = 8z + -2(-5 + x) 10 + 6z = 8z + (-5 * -2 + x * -2) 10 + 6z = 8z + (10 + -2x) Reorder the terms: 10 + 6z = 10 + -2x + 8z Add '-10' to each side of the equation. 10 + -10 + 6z = 10 + -2x + -10 + 8z Combine like terms: 10 + -10 = 0 0 + 6z = 10 + -2x + -10 + 8z 6z = 10 + -2x + -10 + 8z Reorder the terms: 6z = 10 + -10 + -2x + 8z Combine like terms: 10 + -10 = 0 6z = 0 + -2x + 8z 6z = -2x + 8z Solving 6z = -2x + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 6z + -8z = -2x + 8z + -8z Combine like terms: 6z + -8z = -2z -2z = -2x + 8z + -8z Combine like terms: 8z + -8z = 0 -2z = -2x + 0 -2z = -2x Divide each side by '-2'. z = x Simplifying z = x
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