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Simplifying -5(w + 2) + -1w + -3 = -6(w + 5) + 16 Reorder the terms: -5(2 + w) + -1w + -3 = -6(w + 5) + 16 (2 * -5 + w * -5) + -1w + -3 = -6(w + 5) + 16 (-10 + -5w) + -1w + -3 = -6(w + 5) + 16 Reorder the terms: -10 + -3 + -5w + -1w = -6(w + 5) + 16 Combine like terms: -10 + -3 = -13 -13 + -5w + -1w = -6(w + 5) + 16 Combine like terms: -5w + -1w = -6w -13 + -6w = -6(w + 5) + 16 Reorder the terms: -13 + -6w = -6(5 + w) + 16 -13 + -6w = (5 * -6 + w * -6) + 16 -13 + -6w = (-30 + -6w) + 16 Reorder the terms: -13 + -6w = -30 + 16 + -6w Combine like terms: -30 + 16 = -14 -13 + -6w = -14 + -6w Add '6w' to each side of the equation. -13 + -6w + 6w = -14 + -6w + 6w Combine like terms: -6w + 6w = 0 -13 + 0 = -14 + -6w + 6w -13 = -14 + -6w + 6w Combine like terms: -6w + 6w = 0 -13 = -14 + 0 -13 = -14 Solving -13 = -14 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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