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Simplifying 4w + -7 + 3(2w + 3) = -2(w + 4) Reorder the terms: 4w + -7 + 3(3 + 2w) = -2(w + 4) 4w + -7 + (3 * 3 + 2w * 3) = -2(w + 4) 4w + -7 + (9 + 6w) = -2(w + 4) Reorder the terms: -7 + 9 + 4w + 6w = -2(w + 4) Combine like terms: -7 + 9 = 2 2 + 4w + 6w = -2(w + 4) Combine like terms: 4w + 6w = 10w 2 + 10w = -2(w + 4) Reorder the terms: 2 + 10w = -2(4 + w) 2 + 10w = (4 * -2 + w * -2) 2 + 10w = (-8 + -2w) Solving 2 + 10w = -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 + 10w + 2w = -8 + -2w + 2w Combine like terms: 10w + 2w = 12w 2 + 12w = -8 + -2w + 2w Combine like terms: -2w + 2w = 0 2 + 12w = -8 + 0 2 + 12w = -8 Add '-2' to each side of the equation. 2 + -2 + 12w = -8 + -2 Combine like terms: 2 + -2 = 0 0 + 12w = -8 + -2 12w = -8 + -2 Combine like terms: -8 + -2 = -10 12w = -10 Divide each side by '12'. w = -0.8333333333 Simplifying w = -0.8333333333
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