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Simplifying -6 + 7(6p + -1) = 31 + -2p Reorder the terms: -6 + 7(-1 + 6p) = 31 + -2p -6 + (-1 * 7 + 6p * 7) = 31 + -2p -6 + (-7 + 42p) = 31 + -2p Combine like terms: -6 + -7 = -13 -13 + 42p = 31 + -2p Solving -13 + 42p = 31 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. -13 + 42p + 2p = 31 + -2p + 2p Combine like terms: 42p + 2p = 44p -13 + 44p = 31 + -2p + 2p Combine like terms: -2p + 2p = 0 -13 + 44p = 31 + 0 -13 + 44p = 31 Add '13' to each side of the equation. -13 + 13 + 44p = 31 + 13 Combine like terms: -13 + 13 = 0 0 + 44p = 31 + 13 44p = 31 + 13 Combine like terms: 31 + 13 = 44 44p = 44 Divide each side by '44'. p = 1 Simplifying p = 1
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