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Simplifying 2w + -3 + 3(w + -4) + -5(w + -6) = 0 Reorder the terms: 2w + -3 + 3(-4 + w) + -5(w + -6) = 0 2w + -3 + (-4 * 3 + w * 3) + -5(w + -6) = 0 2w + -3 + (-12 + 3w) + -5(w + -6) = 0 Reorder the terms: 2w + -3 + -12 + 3w + -5(-6 + w) = 0 2w + -3 + -12 + 3w + (-6 * -5 + w * -5) = 0 2w + -3 + -12 + 3w + (30 + -5w) = 0 Reorder the terms: -3 + -12 + 30 + 2w + 3w + -5w = 0 Combine like terms: -3 + -12 = -15 -15 + 30 + 2w + 3w + -5w = 0 Combine like terms: -15 + 30 = 15 15 + 2w + 3w + -5w = 0 Combine like terms: 2w + 3w = 5w 15 + 5w + -5w = 0 Combine like terms: 5w + -5w = 0 15 + 0 = 0 15 = 0 Solving 15 = 0 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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