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Simplifying 4(w + 3) = -2(5w + -3) + 2w Reorder the terms: 4(3 + w) = -2(5w + -3) + 2w (3 * 4 + w * 4) = -2(5w + -3) + 2w (12 + 4w) = -2(5w + -3) + 2w Reorder the terms: 12 + 4w = -2(-3 + 5w) + 2w 12 + 4w = (-3 * -2 + 5w * -2) + 2w 12 + 4w = (6 + -10w) + 2w Combine like terms: -10w + 2w = -8w 12 + 4w = 6 + -8w Solving 12 + 4w = 6 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. 12 + 4w + 8w = 6 + -8w + 8w Combine like terms: 4w + 8w = 12w 12 + 12w = 6 + -8w + 8w Combine like terms: -8w + 8w = 0 12 + 12w = 6 + 0 12 + 12w = 6 Add '-12' to each side of the equation. 12 + -12 + 12w = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 12w = 6 + -12 12w = 6 + -12 Combine like terms: 6 + -12 = -6 12w = -6 Divide each side by '12'. w = -0.5 Simplifying w = -0.5
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