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Simplifying 5w = 8 + -1w + 6w + -2(w + -4) Reorder the terms: 5w = 8 + -1w + 6w + -2(-4 + w) 5w = 8 + -1w + 6w + (-4 * -2 + w * -2) 5w = 8 + -1w + 6w + (8 + -2w) Reorder the terms: 5w = 8 + 8 + -1w + 6w + -2w Combine like terms: 8 + 8 = 16 5w = 16 + -1w + 6w + -2w Combine like terms: -1w + 6w = 5w 5w = 16 + 5w + -2w Combine like terms: 5w + -2w = 3w 5w = 16 + 3w Solving 5w = 16 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 5w + -3w = 16 + 3w + -3w Combine like terms: 5w + -3w = 2w 2w = 16 + 3w + -3w Combine like terms: 3w + -3w = 0 2w = 16 + 0 2w = 16 Divide each side by '2'. w = 8 Simplifying w = 8
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