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Simplifying 4(w + -4) + -3(2w + -3) = 7 + -2w Reorder the terms: 4(-4 + w) + -3(2w + -3) = 7 + -2w (-4 * 4 + w * 4) + -3(2w + -3) = 7 + -2w (-16 + 4w) + -3(2w + -3) = 7 + -2w Reorder the terms: -16 + 4w + -3(-3 + 2w) = 7 + -2w -16 + 4w + (-3 * -3 + 2w * -3) = 7 + -2w -16 + 4w + (9 + -6w) = 7 + -2w Reorder the terms: -16 + 9 + 4w + -6w = 7 + -2w Combine like terms: -16 + 9 = -7 -7 + 4w + -6w = 7 + -2w Combine like terms: 4w + -6w = -2w -7 + -2w = 7 + -2w Add '2w' to each side of the equation. -7 + -2w + 2w = 7 + -2w + 2w Combine like terms: -2w + 2w = 0 -7 + 0 = 7 + -2w + 2w -7 = 7 + -2w + 2w Combine like terms: -2w + 2w = 0 -7 = 7 + 0 -7 = 7 Solving -7 = 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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