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Simplifying -2(w + 6) + 3(4w + 3) = 0 Reorder the terms: -2(6 + w) + 3(4w + 3) = 0 (6 * -2 + w * -2) + 3(4w + 3) = 0 (-12 + -2w) + 3(4w + 3) = 0 Reorder the terms: -12 + -2w + 3(3 + 4w) = 0 -12 + -2w + (3 * 3 + 4w * 3) = 0 -12 + -2w + (9 + 12w) = 0 Reorder the terms: -12 + 9 + -2w + 12w = 0 Combine like terms: -12 + 9 = -3 -3 + -2w + 12w = 0 Combine like terms: -2w + 12w = 10w -3 + 10w = 0 Solving -3 + 10w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 10w = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 10w = 0 + 3 10w = 0 + 3 Combine like terms: 0 + 3 = 3 10w = 3 Divide each side by '10'. w = 0.3 Simplifying w = 0.3
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