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Simplifying w + -6 + 2(6w + 2) = -2(w + 4) Reorder the terms: w + -6 + 2(2 + 6w) = -2(w + 4) w + -6 + (2 * 2 + 6w * 2) = -2(w + 4) w + -6 + (4 + 12w) = -2(w + 4) Reorder the terms: -6 + 4 + w + 12w = -2(w + 4) Combine like terms: -6 + 4 = -2 -2 + w + 12w = -2(w + 4) Combine like terms: w + 12w = 13w -2 + 13w = -2(w + 4) Reorder the terms: -2 + 13w = -2(4 + w) -2 + 13w = (4 * -2 + w * -2) -2 + 13w = (-8 + -2w) Solving -2 + 13w = -8 + -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. -2 + 13w + 2w = -8 + -2w + 2w Combine like terms: 13w + 2w = 15w -2 + 15w = -8 + -2w + 2w Combine like terms: -2w + 2w = 0 -2 + 15w = -8 + 0 -2 + 15w = -8 Add '2' to each side of the equation. -2 + 2 + 15w = -8 + 2 Combine like terms: -2 + 2 = 0 0 + 15w = -8 + 2 15w = -8 + 2 Combine like terms: -8 + 2 = -6 15w = -6 Divide each side by '15'. w = -0.4 Simplifying w = -0.4
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