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Simplifying 4(r + -1) + 5r + 3 = 9r + -7 Reorder the terms: 4(-1 + r) + 5r + 3 = 9r + -7 (-1 * 4 + r * 4) + 5r + 3 = 9r + -7 (-4 + 4r) + 5r + 3 = 9r + -7 Reorder the terms: -4 + 3 + 4r + 5r = 9r + -7 Combine like terms: -4 + 3 = -1 -1 + 4r + 5r = 9r + -7 Combine like terms: 4r + 5r = 9r -1 + 9r = 9r + -7 Reorder the terms: -1 + 9r = -7 + 9r Add '-9r' to each side of the equation. -1 + 9r + -9r = -7 + 9r + -9r Combine like terms: 9r + -9r = 0 -1 + 0 = -7 + 9r + -9r -1 = -7 + 9r + -9r Combine like terms: 9r + -9r = 0 -1 = -7 + 0 -1 = -7 Solving -1 = -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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