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Simplifying 5(3w + -2) + -1(2w + 4) = 0 Reorder the terms: 5(-2 + 3w) + -1(2w + 4) = 0 (-2 * 5 + 3w * 5) + -1(2w + 4) = 0 (-10 + 15w) + -1(2w + 4) = 0 Reorder the terms: -10 + 15w + -1(4 + 2w) = 0 -10 + 15w + (4 * -1 + 2w * -1) = 0 -10 + 15w + (-4 + -2w) = 0 Reorder the terms: -10 + -4 + 15w + -2w = 0 Combine like terms: -10 + -4 = -14 -14 + 15w + -2w = 0 Combine like terms: 15w + -2w = 13w -14 + 13w = 0 Solving -14 + 13w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 13w = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 13w = 0 + 14 13w = 0 + 14 Combine like terms: 0 + 14 = 14 13w = 14 Divide each side by '13'. w = 1.076923077 Simplifying w = 1.076923077
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