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Simplifying 2w + 4 + -8w = 2(w + 4) + 6 Reorder the terms: 4 + 2w + -8w = 2(w + 4) + 6 Combine like terms: 2w + -8w = -6w 4 + -6w = 2(w + 4) + 6 Reorder the terms: 4 + -6w = 2(4 + w) + 6 4 + -6w = (4 * 2 + w * 2) + 6 4 + -6w = (8 + 2w) + 6 Reorder the terms: 4 + -6w = 8 + 6 + 2w Combine like terms: 8 + 6 = 14 4 + -6w = 14 + 2w Solving 4 + -6w = 14 + 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. 4 + -6w + -2w = 14 + 2w + -2w Combine like terms: -6w + -2w = -8w 4 + -8w = 14 + 2w + -2w Combine like terms: 2w + -2w = 0 4 + -8w = 14 + 0 4 + -8w = 14 Add '-4' to each side of the equation. 4 + -4 + -8w = 14 + -4 Combine like terms: 4 + -4 = 0 0 + -8w = 14 + -4 -8w = 14 + -4 Combine like terms: 14 + -4 = 10 -8w = 10 Divide each side by '-8'. w = -1.25 Simplifying w = -1.25
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