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Simplifying -2(3w + -1) + 4w = -6(w + 2) Reorder the terms: -2(-1 + 3w) + 4w = -6(w + 2) (-1 * -2 + 3w * -2) + 4w = -6(w + 2) (2 + -6w) + 4w = -6(w + 2) Combine like terms: -6w + 4w = -2w 2 + -2w = -6(w + 2) Reorder the terms: 2 + -2w = -6(2 + w) 2 + -2w = (2 * -6 + w * -6) 2 + -2w = (-12 + -6w) Solving 2 + -2w = -12 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 2 + -2w + 6w = -12 + -6w + 6w Combine like terms: -2w + 6w = 4w 2 + 4w = -12 + -6w + 6w Combine like terms: -6w + 6w = 0 2 + 4w = -12 + 0 2 + 4w = -12 Add '-2' to each side of the equation. 2 + -2 + 4w = -12 + -2 Combine like terms: 2 + -2 = 0 0 + 4w = -12 + -2 4w = -12 + -2 Combine like terms: -12 + -2 = -14 4w = -14 Divide each side by '4'. w = -3.5 Simplifying w = -3.5
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