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