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Simplifying 12r + -1(r + -7) + 6 = 3(r + 6) + 8r Reorder the terms: 12r + -1(-7 + r) + 6 = 3(r + 6) + 8r 12r + (-7 * -1 + r * -1) + 6 = 3(r + 6) + 8r 12r + (7 + -1r) + 6 = 3(r + 6) + 8r Reorder the terms: 7 + 6 + 12r + -1r = 3(r + 6) + 8r Combine like terms: 7 + 6 = 13 13 + 12r + -1r = 3(r + 6) + 8r Combine like terms: 12r + -1r = 11r 13 + 11r = 3(r + 6) + 8r Reorder the terms: 13 + 11r = 3(6 + r) + 8r 13 + 11r = (6 * 3 + r * 3) + 8r 13 + 11r = (18 + 3r) + 8r Combine like terms: 3r + 8r = 11r 13 + 11r = 18 + 11r Add '-11r' to each side of the equation. 13 + 11r + -11r = 18 + 11r + -11r Combine like terms: 11r + -11r = 0 13 + 0 = 18 + 11r + -11r 13 = 18 + 11r + -11r Combine like terms: 11r + -11r = 0 13 = 18 + 0 13 = 18 Solving 13 = 18 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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