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Simplifying -2(w + 3) + 3(4w + -2) = 0 Reorder the terms: -2(3 + w) + 3(4w + -2) = 0 (3 * -2 + w * -2) + 3(4w + -2) = 0 (-6 + -2w) + 3(4w + -2) = 0 Reorder the terms: -6 + -2w + 3(-2 + 4w) = 0 -6 + -2w + (-2 * 3 + 4w * 3) = 0 -6 + -2w + (-6 + 12w) = 0 Reorder the terms: -6 + -6 + -2w + 12w = 0 Combine like terms: -6 + -6 = -12 -12 + -2w + 12w = 0 Combine like terms: -2w + 12w = 10w -12 + 10w = 0 Solving -12 + 10w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 10w = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 10w = 0 + 12 10w = 0 + 12 Combine like terms: 0 + 12 = 12 10w = 12 Divide each side by '10'. w = 1.2 Simplifying w = 1.2
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