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Simplifying 5(r + -7) = 8 + -1(-5r + -27) Reorder the terms: 5(-7 + r) = 8 + -1(-5r + -27) (-7 * 5 + r * 5) = 8 + -1(-5r + -27) (-35 + 5r) = 8 + -1(-5r + -27) Reorder the terms: -35 + 5r = 8 + -1(-27 + -5r) -35 + 5r = 8 + (-27 * -1 + -5r * -1) -35 + 5r = 8 + (27 + 5r) Combine like terms: 8 + 27 = 35 -35 + 5r = 35 + 5r Add '-5r' to each side of the equation. -35 + 5r + -5r = 35 + 5r + -5r Combine like terms: 5r + -5r = 0 -35 + 0 = 35 + 5r + -5r -35 = 35 + 5r + -5r Combine like terms: 5r + -5r = 0 -35 = 35 + 0 -35 = 35 Solving -35 = 35 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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