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Simplifying 8 = 10 + -1(5 + -1w) 8 = 10 + (5 * -1 + -1w * -1) 8 = 10 + (-5 + 1w) Combine like terms: 10 + -5 = 5 8 = 5 + 1w Solving 8 = 5 + 1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 8 + -1w = 5 + 1w + -1w Combine like terms: 1w + -1w = 0 8 + -1w = 5 + 0 8 + -1w = 5 Add '-8' to each side of the equation. 8 + -8 + -1w = 5 + -8 Combine like terms: 8 + -8 = 0 0 + -1w = 5 + -8 -1w = 5 + -8 Combine like terms: 5 + -8 = -3 -1w = -3 Divide each side by '-1'. w = 3 Simplifying w = 3
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