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Simplifying 2(3w + 7) = -4(3 + -2w) Reorder the terms: 2(7 + 3w) = -4(3 + -2w) (7 * 2 + 3w * 2) = -4(3 + -2w) (14 + 6w) = -4(3 + -2w) 14 + 6w = (3 * -4 + -2w * -4) 14 + 6w = (-12 + 8w) Solving 14 + 6w = -12 + 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 + 6w + -8w = -12 + 8w + -8w Combine like terms: 6w + -8w = -2w 14 + -2w = -12 + 8w + -8w Combine like terms: 8w + -8w = 0 14 + -2w = -12 + 0 14 + -2w = -12 Add '-14' to each side of the equation. 14 + -14 + -2w = -12 + -14 Combine like terms: 14 + -14 = 0 0 + -2w = -12 + -14 -2w = -12 + -14 Combine like terms: -12 + -14 = -26 -2w = -26 Divide each side by '-2'. w = 13 Simplifying w = 13
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