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Simplifying 6(w + 2) = -2(4w + -3) + 4w Reorder the terms: 6(2 + w) = -2(4w + -3) + 4w (2 * 6 + w * 6) = -2(4w + -3) + 4w (12 + 6w) = -2(4w + -3) + 4w Reorder the terms: 12 + 6w = -2(-3 + 4w) + 4w 12 + 6w = (-3 * -2 + 4w * -2) + 4w 12 + 6w = (6 + -8w) + 4w Combine like terms: -8w + 4w = -4w 12 + 6w = 6 + -4w Solving 12 + 6w = 6 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 12 + 6w + 4w = 6 + -4w + 4w Combine like terms: 6w + 4w = 10w 12 + 10w = 6 + -4w + 4w Combine like terms: -4w + 4w = 0 12 + 10w = 6 + 0 12 + 10w = 6 Add '-12' to each side of the equation. 12 + -12 + 10w = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 10w = 6 + -12 10w = 6 + -12 Combine like terms: 6 + -12 = -6 10w = -6 Divide each side by '10'. w = -0.6 Simplifying w = -0.6
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