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Simplifying 7z + 182 = 8z + -40 Reorder the terms: 182 + 7z = 8z + -40 Reorder the terms: 182 + 7z = -40 + 8z Solving 182 + 7z = -40 + 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. 182 + 7z + -8z = -40 + 8z + -8z Combine like terms: 7z + -8z = -1z 182 + -1z = -40 + 8z + -8z Combine like terms: 8z + -8z = 0 182 + -1z = -40 + 0 182 + -1z = -40 Add '-182' to each side of the equation. 182 + -182 + -1z = -40 + -182 Combine like terms: 182 + -182 = 0 0 + -1z = -40 + -182 -1z = -40 + -182 Combine like terms: -40 + -182 = -222 -1z = -222 Divide each side by '-1'. z = 222 Simplifying z = 222
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