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Simplifying 6r + -9(3r + -2) = 7(1 + -3r) Reorder the terms: 6r + -9(-2 + 3r) = 7(1 + -3r) 6r + (-2 * -9 + 3r * -9) = 7(1 + -3r) 6r + (18 + -27r) = 7(1 + -3r) Reorder the terms: 18 + 6r + -27r = 7(1 + -3r) Combine like terms: 6r + -27r = -21r 18 + -21r = 7(1 + -3r) 18 + -21r = (1 * 7 + -3r * 7) 18 + -21r = (7 + -21r) Add '21r' to each side of the equation. 18 + -21r + 21r = 7 + -21r + 21r Combine like terms: -21r + 21r = 0 18 + 0 = 7 + -21r + 21r 18 = 7 + -21r + 21r Combine like terms: -21r + 21r = 0 18 = 7 + 0 18 = 7 Solving 18 = 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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