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Simplifying 2w + -7(w + -2) = 3(w + -4) Reorder the terms: 2w + -7(-2 + w) = 3(w + -4) 2w + (-2 * -7 + w * -7) = 3(w + -4) 2w + (14 + -7w) = 3(w + -4) Reorder the terms: 14 + 2w + -7w = 3(w + -4) Combine like terms: 2w + -7w = -5w 14 + -5w = 3(w + -4) Reorder the terms: 14 + -5w = 3(-4 + w) 14 + -5w = (-4 * 3 + w * 3) 14 + -5w = (-12 + 3w) Solving 14 + -5w = -12 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 14 + -5w + -3w = -12 + 3w + -3w Combine like terms: -5w + -3w = -8w 14 + -8w = -12 + 3w + -3w Combine like terms: 3w + -3w = 0 14 + -8w = -12 + 0 14 + -8w = -12 Add '-14' to each side of the equation. 14 + -14 + -8w = -12 + -14 Combine like terms: 14 + -14 = 0 0 + -8w = -12 + -14 -8w = -12 + -14 Combine like terms: -12 + -14 = -26 -8w = -26 Divide each side by '-8'. w = 3.25 Simplifying w = 3.25
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