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Simplifying 3(26 + -2w) = -8(w + -12) (26 * 3 + -2w * 3) = -8(w + -12) (78 + -6w) = -8(w + -12) Reorder the terms: 78 + -6w = -8(-12 + w) 78 + -6w = (-12 * -8 + w * -8) 78 + -6w = (96 + -8w) Solving 78 + -6w = 96 + -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. 78 + -6w + 8w = 96 + -8w + 8w Combine like terms: -6w + 8w = 2w 78 + 2w = 96 + -8w + 8w Combine like terms: -8w + 8w = 0 78 + 2w = 96 + 0 78 + 2w = 96 Add '-78' to each side of the equation. 78 + -78 + 2w = 96 + -78 Combine like terms: 78 + -78 = 0 0 + 2w = 96 + -78 2w = 96 + -78 Combine like terms: 96 + -78 = 18 2w = 18 Divide each side by '2'. w = 9 Simplifying w = 9
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