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Simplifying -2(r + 6) + 8 = 2(r + -3) + -4r + 10 Reorder the terms: -2(6 + r) + 8 = 2(r + -3) + -4r + 10 (6 * -2 + r * -2) + 8 = 2(r + -3) + -4r + 10 (-12 + -2r) + 8 = 2(r + -3) + -4r + 10 Reorder the terms: -12 + 8 + -2r = 2(r + -3) + -4r + 10 Combine like terms: -12 + 8 = -4 -4 + -2r = 2(r + -3) + -4r + 10 Reorder the terms: -4 + -2r = 2(-3 + r) + -4r + 10 -4 + -2r = (-3 * 2 + r * 2) + -4r + 10 -4 + -2r = (-6 + 2r) + -4r + 10 Reorder the terms: -4 + -2r = -6 + 10 + 2r + -4r Combine like terms: -6 + 10 = 4 -4 + -2r = 4 + 2r + -4r Combine like terms: 2r + -4r = -2r -4 + -2r = 4 + -2r Add '2r' to each side of the equation. -4 + -2r + 2r = 4 + -2r + 2r Combine like terms: -2r + 2r = 0 -4 + 0 = 4 + -2r + 2r -4 = 4 + -2r + 2r Combine like terms: -2r + 2r = 0 -4 = 4 + 0 -4 = 4 Solving -4 = 4 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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