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Simplifying -4(4w + -3) + 8w = 2(w + 3) Reorder the terms: -4(-3 + 4w) + 8w = 2(w + 3) (-3 * -4 + 4w * -4) + 8w = 2(w + 3) (12 + -16w) + 8w = 2(w + 3) Combine like terms: -16w + 8w = -8w 12 + -8w = 2(w + 3) Reorder the terms: 12 + -8w = 2(3 + w) 12 + -8w = (3 * 2 + w * 2) 12 + -8w = (6 + 2w) Solving 12 + -8w = 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. 12 + -8w + -2w = 6 + 2w + -2w Combine like terms: -8w + -2w = -10w 12 + -10w = 6 + 2w + -2w Combine like terms: 2w + -2w = 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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