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Simplifying -3[w + 5] + 5w = 2[w + -6] Reorder the terms: -3[5 + w] + 5w = 2[w + -6] [5 * -3 + w * -3] + 5w = 2[w + -6] [-15 + -3w] + 5w = 2[w + -6] Combine like terms: -3w + 5w = 2w -15 + 2w = 2[w + -6] Reorder the terms: -15 + 2w = 2[-6 + w] -15 + 2w = [-6 * 2 + w * 2] -15 + 2w = [-12 + 2w] Add '-2w' to each side of the equation. -15 + 2w + -2w = -12 + 2w + -2w Combine like terms: 2w + -2w = 0 -15 + 0 = -12 + 2w + -2w -15 = -12 + 2w + -2w Combine like terms: 2w + -2w = 0 -15 = -12 + 0 -15 = -12 Solving -15 = -12 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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