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Simplifying 2w + 8 = -8(w + -6) Reorder the terms: 8 + 2w = -8(w + -6) Reorder the terms: 8 + 2w = -8(-6 + w) 8 + 2w = (-6 * -8 + w * -8) 8 + 2w = (48 + -8w) Solving 8 + 2w = 48 + -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. 8 + 2w + 8w = 48 + -8w + 8w Combine like terms: 2w + 8w = 10w 8 + 10w = 48 + -8w + 8w Combine like terms: -8w + 8w = 0 8 + 10w = 48 + 0 8 + 10w = 48 Add '-8' to each side of the equation. 8 + -8 + 10w = 48 + -8 Combine like terms: 8 + -8 = 0 0 + 10w = 48 + -8 10w = 48 + -8 Combine like terms: 48 + -8 = 40 10w = 40 Divide each side by '10'. w = 4 Simplifying w = 4
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