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Simplifying 10p + 9 + -11 + -1p = -4 + -8 + -6p + -6 Reorder the terms: 9 + -11 + 10p + -1p = -4 + -8 + -6p + -6 Combine like terms: 9 + -11 = -2 -2 + 10p + -1p = -4 + -8 + -6p + -6 Combine like terms: 10p + -1p = 9p -2 + 9p = -4 + -8 + -6p + -6 Reorder the terms: -2 + 9p = -4 + -8 + -6 + -6p Combine like terms: -4 + -8 = -12 -2 + 9p = -12 + -6 + -6p Combine like terms: -12 + -6 = -18 -2 + 9p = -18 + -6p Solving -2 + 9p = -18 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. -2 + 9p + 6p = -18 + -6p + 6p Combine like terms: 9p + 6p = 15p -2 + 15p = -18 + -6p + 6p Combine like terms: -6p + 6p = 0 -2 + 15p = -18 + 0 -2 + 15p = -18 Add '2' to each side of the equation. -2 + 2 + 15p = -18 + 2 Combine like terms: -2 + 2 = 0 0 + 15p = -18 + 2 15p = -18 + 2 Combine like terms: -18 + 2 = -16 15p = -16 Divide each side by '15'. p = -1.066666667 Simplifying p = -1.066666667
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