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Simplifying 5r + 2(r + -6) = 7(r + 8) Reorder the terms: 5r + 2(-6 + r) = 7(r + 8) 5r + (-6 * 2 + r * 2) = 7(r + 8) 5r + (-12 + 2r) = 7(r + 8) Reorder the terms: -12 + 5r + 2r = 7(r + 8) Combine like terms: 5r + 2r = 7r -12 + 7r = 7(r + 8) Reorder the terms: -12 + 7r = 7(8 + r) -12 + 7r = (8 * 7 + r * 7) -12 + 7r = (56 + 7r) Add '-7r' to each side of the equation. -12 + 7r + -7r = 56 + 7r + -7r Combine like terms: 7r + -7r = 0 -12 + 0 = 56 + 7r + -7r -12 = 56 + 7r + -7r Combine like terms: 7r + -7r = 0 -12 = 56 + 0 -12 = 56 Solving -12 = 56 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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