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Simplifying 10p + -2(3p + 6) = 4(3p + -6) + -8p Reorder the terms: 10p + -2(6 + 3p) = 4(3p + -6) + -8p 10p + (6 * -2 + 3p * -2) = 4(3p + -6) + -8p 10p + (-12 + -6p) = 4(3p + -6) + -8p Reorder the terms: -12 + 10p + -6p = 4(3p + -6) + -8p Combine like terms: 10p + -6p = 4p -12 + 4p = 4(3p + -6) + -8p Reorder the terms: -12 + 4p = 4(-6 + 3p) + -8p -12 + 4p = (-6 * 4 + 3p * 4) + -8p -12 + 4p = (-24 + 12p) + -8p Combine like terms: 12p + -8p = 4p -12 + 4p = -24 + 4p Add '-4p' to each side of the equation. -12 + 4p + -4p = -24 + 4p + -4p Combine like terms: 4p + -4p = 0 -12 + 0 = -24 + 4p + -4p -12 = -24 + 4p + -4p Combine like terms: 4p + -4p = 0 -12 = -24 + 0 -12 = -24 Solving -12 = -24 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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