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Simplifying -8r + 10r = 5(4r + 6) + 3(1 + -6r) Combine like terms: -8r + 10r = 2r 2r = 5(4r + 6) + 3(1 + -6r) Reorder the terms: 2r = 5(6 + 4r) + 3(1 + -6r) 2r = (6 * 5 + 4r * 5) + 3(1 + -6r) 2r = (30 + 20r) + 3(1 + -6r) 2r = 30 + 20r + (1 * 3 + -6r * 3) 2r = 30 + 20r + (3 + -18r) Reorder the terms: 2r = 30 + 3 + 20r + -18r Combine like terms: 30 + 3 = 33 2r = 33 + 20r + -18r Combine like terms: 20r + -18r = 2r 2r = 33 + 2r Add '-2r' to each side of the equation. 2r + -2r = 33 + 2r + -2r Combine like terms: 2r + -2r = 0 0 = 33 + 2r + -2r Combine like terms: 2r + -2r = 0 0 = 33 + 0 0 = 33 Solving 0 = 33 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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