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Simplifying 4(3r + -2) = 7(r + 2) + 5r Reorder the terms: 4(-2 + 3r) = 7(r + 2) + 5r (-2 * 4 + 3r * 4) = 7(r + 2) + 5r (-8 + 12r) = 7(r + 2) + 5r Reorder the terms: -8 + 12r = 7(2 + r) + 5r -8 + 12r = (2 * 7 + r * 7) + 5r -8 + 12r = (14 + 7r) + 5r Combine like terms: 7r + 5r = 12r -8 + 12r = 14 + 12r Add '-12r' to each side of the equation. -8 + 12r + -12r = 14 + 12r + -12r Combine like terms: 12r + -12r = 0 -8 + 0 = 14 + 12r + -12r -8 = 14 + 12r + -12r Combine like terms: 12r + -12r = 0 -8 = 14 + 0 -8 = 14 Solving -8 = 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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