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Simplifying 3 + -2r + 7 = 3r + -5(r + -3) Reorder the terms: 3 + 7 + -2r = 3r + -5(r + -3) Combine like terms: 3 + 7 = 10 10 + -2r = 3r + -5(r + -3) Reorder the terms: 10 + -2r = 3r + -5(-3 + r) 10 + -2r = 3r + (-3 * -5 + r * -5) 10 + -2r = 3r + (15 + -5r) Reorder the terms: 10 + -2r = 15 + 3r + -5r Combine like terms: 3r + -5r = -2r 10 + -2r = 15 + -2r Add '2r' to each side of the equation. 10 + -2r + 2r = 15 + -2r + 2r Combine like terms: -2r + 2r = 0 10 + 0 = 15 + -2r + 2r 10 = 15 + -2r + 2r Combine like terms: -2r + 2r = 0 10 = 15 + 0 10 = 15 Solving 10 = 15 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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