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Simplifying 6(7 + -2p) = -3(4p + 1) (7 * 6 + -2p * 6) = -3(4p + 1) (42 + -12p) = -3(4p + 1) Reorder the terms: 42 + -12p = -3(1 + 4p) 42 + -12p = (1 * -3 + 4p * -3) 42 + -12p = (-3 + -12p) Add '12p' to each side of the equation. 42 + -12p + 12p = -3 + -12p + 12p Combine like terms: -12p + 12p = 0 42 + 0 = -3 + -12p + 12p 42 = -3 + -12p + 12p Combine like terms: -12p + 12p = 0 42 = -3 + 0 42 = -3 Solving 42 = -3 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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