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Simplifying -8w + 14 = 17 + 6w + -15 + -4w Reorder the terms: 14 + -8w = 17 + 6w + -15 + -4w Reorder the terms: 14 + -8w = 17 + -15 + 6w + -4w Combine like terms: 17 + -15 = 2 14 + -8w = 2 + 6w + -4w Combine like terms: 6w + -4w = 2w 14 + -8w = 2 + 2w Solving 14 + -8w = 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. 14 + -8w + -2w = 2 + 2w + -2w Combine like terms: -8w + -2w = -10w 14 + -10w = 2 + 2w + -2w Combine like terms: 2w + -2w = 0 14 + -10w = 2 + 0 14 + -10w = 2 Add '-14' to each side of the equation. 14 + -14 + -10w = 2 + -14 Combine like terms: 14 + -14 = 0 0 + -10w = 2 + -14 -10w = 2 + -14 Combine like terms: 2 + -14 = -12 -10w = -12 Divide each side by '-10'. w = 1.2 Simplifying w = 1.2
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