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Simplifying 6(2w + -7) = 4(3w + 5) Reorder the terms: 6(-7 + 2w) = 4(3w + 5) (-7 * 6 + 2w * 6) = 4(3w + 5) (-42 + 12w) = 4(3w + 5) Reorder the terms: -42 + 12w = 4(5 + 3w) -42 + 12w = (5 * 4 + 3w * 4) -42 + 12w = (20 + 12w) Add '-12w' to each side of the equation. -42 + 12w + -12w = 20 + 12w + -12w Combine like terms: 12w + -12w = 0 -42 + 0 = 20 + 12w + -12w -42 = 20 + 12w + -12w Combine like terms: 12w + -12w = 0 -42 = 20 + 0 -42 = 20 Solving -42 = 20 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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