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