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