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Simplifying -4(w + -2) = (-2w + -6) Reorder the terms: -4(-2 + w) = (-2w + -6) (-2 * -4 + w * -4) = (-2w + -6) (8 + -4w) = (-2w + -6) Reorder the terms: 8 + -4w = (-6 + -2w) Remove parenthesis around (-6 + -2w) 8 + -4w = -6 + -2w Solving 8 + -4w = -6 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 8 + -4w + 2w = -6 + -2w + 2w Combine like terms: -4w + 2w = -2w 8 + -2w = -6 + -2w + 2w Combine like terms: -2w + 2w = 0 8 + -2w = -6 + 0 8 + -2w = -6 Add '-8' to each side of the equation. 8 + -8 + -2w = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -2w = -6 + -8 -2w = -6 + -8 Combine like terms: -6 + -8 = -14 -2w = -14 Divide each side by '-2'. w = 7 Simplifying w = 7
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