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Simplifying -6(w + -1) = 2(1 + -3w) + -7 Reorder the terms: -6(-1 + w) = 2(1 + -3w) + -7 (-1 * -6 + w * -6) = 2(1 + -3w) + -7 (6 + -6w) = 2(1 + -3w) + -7 6 + -6w = (1 * 2 + -3w * 2) + -7 6 + -6w = (2 + -6w) + -7 Reorder the terms: 6 + -6w = 2 + -7 + -6w Combine like terms: 2 + -7 = -5 6 + -6w = -5 + -6w Add '6w' to each side of the equation. 6 + -6w + 6w = -5 + -6w + 6w Combine like terms: -6w + 6w = 0 6 + 0 = -5 + -6w + 6w 6 = -5 + -6w + 6w Combine like terms: -6w + 6w = 0 6 = -5 + 0 6 = -5 Solving 6 = -5 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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