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Simplifying 0 = p + -7(1 + 6p) + -1(36 + 2p) 0 = p + (1 * -7 + 6p * -7) + -1(36 + 2p) 0 = p + (-7 + -42p) + -1(36 + 2p) 0 = p + -7 + -42p + (36 * -1 + 2p * -1) 0 = p + -7 + -42p + (-36 + -2p) Reorder the terms: 0 = -7 + -36 + p + -42p + -2p Combine like terms: -7 + -36 = -43 0 = -43 + p + -42p + -2p Combine like terms: p + -42p = -41p 0 = -43 + -41p + -2p Combine like terms: -41p + -2p = -43p 0 = -43 + -43p Solving 0 = -43 + -43p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '43p' to each side of the equation. 0 + 43p = -43 + -43p + 43p Remove the zero: 43p = -43 + -43p + 43p Combine like terms: -43p + 43p = 0 43p = -43 + 0 43p = -43 Divide each side by '43'. p = -1 Simplifying p = -1
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