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Simplifying 6w + -3 + 2(2w + 5) = -2(w + 4) Reorder the terms: 6w + -3 + 2(5 + 2w) = -2(w + 4) 6w + -3 + (5 * 2 + 2w * 2) = -2(w + 4) 6w + -3 + (10 + 4w) = -2(w + 4) Reorder the terms: -3 + 10 + 6w + 4w = -2(w + 4) Combine like terms: -3 + 10 = 7 7 + 6w + 4w = -2(w + 4) Combine like terms: 6w + 4w = 10w 7 + 10w = -2(w + 4) Reorder the terms: 7 + 10w = -2(4 + w) 7 + 10w = (4 * -2 + w * -2) 7 + 10w = (-8 + -2w) Solving 7 + 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. 7 + 10w + 2w = -8 + -2w + 2w Combine like terms: 10w + 2w = 12w 7 + 12w = -8 + -2w + 2w Combine like terms: -2w + 2w = 0 7 + 12w = -8 + 0 7 + 12w = -8 Add '-7' to each side of the equation. 7 + -7 + 12w = -8 + -7 Combine like terms: 7 + -7 = 0 0 + 12w = -8 + -7 12w = -8 + -7 Combine like terms: -8 + -7 = -15 12w = -15 Divide each side by '12'. w = -1.25 Simplifying w = -1.25
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