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Simplifying -8 + -3(w + 13) = 4(w + 11) + -7w Reorder the terms: -8 + -3(13 + w) = 4(w + 11) + -7w -8 + (13 * -3 + w * -3) = 4(w + 11) + -7w -8 + (-39 + -3w) = 4(w + 11) + -7w Combine like terms: -8 + -39 = -47 -47 + -3w = 4(w + 11) + -7w Reorder the terms: -47 + -3w = 4(11 + w) + -7w -47 + -3w = (11 * 4 + w * 4) + -7w -47 + -3w = (44 + 4w) + -7w Combine like terms: 4w + -7w = -3w -47 + -3w = 44 + -3w Add '3w' to each side of the equation. -47 + -3w + 3w = 44 + -3w + 3w Combine like terms: -3w + 3w = 0 -47 + 0 = 44 + -3w + 3w -47 = 44 + -3w + 3w Combine like terms: -3w + 3w = 0 -47 = 44 + 0 -47 = 44 Solving -47 = 44 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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