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Simplifying 6p + -1(3p + 5) + -9 = 3(p + -3) Reorder the terms: 6p + -1(5 + 3p) + -9 = 3(p + -3) 6p + (5 * -1 + 3p * -1) + -9 = 3(p + -3) 6p + (-5 + -3p) + -9 = 3(p + -3) Reorder the terms: -5 + -9 + 6p + -3p = 3(p + -3) Combine like terms: -5 + -9 = -14 -14 + 6p + -3p = 3(p + -3) Combine like terms: 6p + -3p = 3p -14 + 3p = 3(p + -3) Reorder the terms: -14 + 3p = 3(-3 + p) -14 + 3p = (-3 * 3 + p * 3) -14 + 3p = (-9 + 3p) Add '-3p' to each side of the equation. -14 + 3p + -3p = -9 + 3p + -3p Combine like terms: 3p + -3p = 0 -14 + 0 = -9 + 3p + -3p -14 = -9 + 3p + -3p Combine like terms: 3p + -3p = 0 -14 = -9 + 0 -14 = -9 Solving -14 = -9 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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