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Simplifying 2(w + 4) = -3(4w + -2) + 2w Reorder the terms: 2(4 + w) = -3(4w + -2) + 2w (4 * 2 + w * 2) = -3(4w + -2) + 2w (8 + 2w) = -3(4w + -2) + 2w Reorder the terms: 8 + 2w = -3(-2 + 4w) + 2w 8 + 2w = (-2 * -3 + 4w * -3) + 2w 8 + 2w = (6 + -12w) + 2w Combine like terms: -12w + 2w = -10w 8 + 2w = 6 + -10w Solving 8 + 2w = 6 + -10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10w' to each side of the equation. 8 + 2w + 10w = 6 + -10w + 10w Combine like terms: 2w + 10w = 12w 8 + 12w = 6 + -10w + 10w Combine like terms: -10w + 10w = 0 8 + 12w = 6 + 0 8 + 12w = 6 Add '-8' to each side of the equation. 8 + -8 + 12w = 6 + -8 Combine like terms: 8 + -8 = 0 0 + 12w = 6 + -8 12w = 6 + -8 Combine like terms: 6 + -8 = -2 12w = -2 Divide each side by '12'. w = -0.1666666667 Simplifying w = -0.1666666667
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