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Simplifying -2(6w + -2) + 2w = -2(w + 3) Reorder the terms: -2(-2 + 6w) + 2w = -2(w + 3) (-2 * -2 + 6w * -2) + 2w = -2(w + 3) (4 + -12w) + 2w = -2(w + 3) Combine like terms: -12w + 2w = -10w 4 + -10w = -2(w + 3) Reorder the terms: 4 + -10w = -2(3 + w) 4 + -10w = (3 * -2 + w * -2) 4 + -10w = (-6 + -2w) Solving 4 + -10w = -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. 4 + -10w + 2w = -6 + -2w + 2w Combine like terms: -10w + 2w = -8w 4 + -8w = -6 + -2w + 2w Combine like terms: -2w + 2w = 0 4 + -8w = -6 + 0 4 + -8w = -6 Add '-4' to each side of the equation. 4 + -4 + -8w = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -8w = -6 + -4 -8w = -6 + -4 Combine like terms: -6 + -4 = -10 -8w = -10 Divide each side by '-8'. w = 1.25 Simplifying w = 1.25
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