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Simplifying 3(4w + -1) + -6w + -1(9 + -2w) = 0 Reorder the terms: 3(-1 + 4w) + -6w + -1(9 + -2w) = 0 (-1 * 3 + 4w * 3) + -6w + -1(9 + -2w) = 0 (-3 + 12w) + -6w + -1(9 + -2w) = 0 -3 + 12w + -6w + (9 * -1 + -2w * -1) = 0 -3 + 12w + -6w + (-9 + 2w) = 0 Reorder the terms: -3 + -9 + 12w + -6w + 2w = 0 Combine like terms: -3 + -9 = -12 -12 + 12w + -6w + 2w = 0 Combine like terms: 12w + -6w = 6w -12 + 6w + 2w = 0 Combine like terms: 6w + 2w = 8w -12 + 8w = 0 Solving -12 + 8w = 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 + 8w = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 8w = 0 + 12 8w = 0 + 12 Combine like terms: 0 + 12 = 12 8w = 12 Divide each side by '8'. w = 1.5 Simplifying w = 1.5
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