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Simplifying 5(r + -5) + 7r = 12r + -74 Reorder the terms: 5(-5 + r) + 7r = 12r + -74 (-5 * 5 + r * 5) + 7r = 12r + -74 (-25 + 5r) + 7r = 12r + -74 Combine like terms: 5r + 7r = 12r -25 + 12r = 12r + -74 Reorder the terms: -25 + 12r = -74 + 12r Add '-12r' to each side of the equation. -25 + 12r + -12r = -74 + 12r + -12r Combine like terms: 12r + -12r = 0 -25 + 0 = -74 + 12r + -12r -25 = -74 + 12r + -12r Combine like terms: 12r + -12r = 0 -25 = -74 + 0 -25 = -74 Solving -25 = -74 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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