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Simplifying 6r + 24 = -11(-6 + -1r) + -1(12 + 5r) Reorder the terms: 24 + 6r = -11(-6 + -1r) + -1(12 + 5r) 24 + 6r = (-6 * -11 + -1r * -11) + -1(12 + 5r) 24 + 6r = (66 + 11r) + -1(12 + 5r) 24 + 6r = 66 + 11r + (12 * -1 + 5r * -1) 24 + 6r = 66 + 11r + (-12 + -5r) Reorder the terms: 24 + 6r = 66 + -12 + 11r + -5r Combine like terms: 66 + -12 = 54 24 + 6r = 54 + 11r + -5r Combine like terms: 11r + -5r = 6r 24 + 6r = 54 + 6r Add '-6r' to each side of the equation. 24 + 6r + -6r = 54 + 6r + -6r Combine like terms: 6r + -6r = 0 24 + 0 = 54 + 6r + -6r 24 = 54 + 6r + -6r Combine like terms: 6r + -6r = 0 24 = 54 + 0 24 = 54 Solving 24 = 54 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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