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Simplifying 2(3 + -1w) + 8 = -8(w + -3) + -5 (3 * 2 + -1w * 2) + 8 = -8(w + -3) + -5 (6 + -2w) + 8 = -8(w + -3) + -5 Reorder the terms: 6 + 8 + -2w = -8(w + -3) + -5 Combine like terms: 6 + 8 = 14 14 + -2w = -8(w + -3) + -5 Reorder the terms: 14 + -2w = -8(-3 + w) + -5 14 + -2w = (-3 * -8 + w * -8) + -5 14 + -2w = (24 + -8w) + -5 Reorder the terms: 14 + -2w = 24 + -5 + -8w Combine like terms: 24 + -5 = 19 14 + -2w = 19 + -8w Solving 14 + -2w = 19 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. 14 + -2w + 8w = 19 + -8w + 8w Combine like terms: -2w + 8w = 6w 14 + 6w = 19 + -8w + 8w Combine like terms: -8w + 8w = 0 14 + 6w = 19 + 0 14 + 6w = 19 Add '-14' to each side of the equation. 14 + -14 + 6w = 19 + -14 Combine like terms: 14 + -14 = 0 0 + 6w = 19 + -14 6w = 19 + -14 Combine like terms: 19 + -14 = 5 6w = 5 Divide each side by '6'. w = 0.8333333333 Simplifying w = 0.8333333333
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