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Simplifying 2(w + -8) + -5(w + 4) = 7 + -3w Reorder the terms: 2(-8 + w) + -5(w + 4) = 7 + -3w (-8 * 2 + w * 2) + -5(w + 4) = 7 + -3w (-16 + 2w) + -5(w + 4) = 7 + -3w Reorder the terms: -16 + 2w + -5(4 + w) = 7 + -3w -16 + 2w + (4 * -5 + w * -5) = 7 + -3w -16 + 2w + (-20 + -5w) = 7 + -3w Reorder the terms: -16 + -20 + 2w + -5w = 7 + -3w Combine like terms: -16 + -20 = -36 -36 + 2w + -5w = 7 + -3w Combine like terms: 2w + -5w = -3w -36 + -3w = 7 + -3w Add '3w' to each side of the equation. -36 + -3w + 3w = 7 + -3w + 3w Combine like terms: -3w + 3w = 0 -36 + 0 = 7 + -3w + 3w -36 = 7 + -3w + 3w Combine like terms: -3w + 3w = 0 -36 = 7 + 0 -36 = 7 Solving -36 = 7 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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