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Simplifying -2p + -4(2p + 9) = 6p + -10 Reorder the terms: -2p + -4(9 + 2p) = 6p + -10 -2p + (9 * -4 + 2p * -4) = 6p + -10 -2p + (-36 + -8p) = 6p + -10 Reorder the terms: -36 + -2p + -8p = 6p + -10 Combine like terms: -2p + -8p = -10p -36 + -10p = 6p + -10 Reorder the terms: -36 + -10p = -10 + 6p Solving -36 + -10p = -10 + 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. -36 + -10p + -6p = -10 + 6p + -6p Combine like terms: -10p + -6p = -16p -36 + -16p = -10 + 6p + -6p Combine like terms: 6p + -6p = 0 -36 + -16p = -10 + 0 -36 + -16p = -10 Add '36' to each side of the equation. -36 + 36 + -16p = -10 + 36 Combine like terms: -36 + 36 = 0 0 + -16p = -10 + 36 -16p = -10 + 36 Combine like terms: -10 + 36 = 26 -16p = 26 Divide each side by '-16'. p = -1.625 Simplifying p = -1.625
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