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Simplifying -3p + -3(3 + -3p) = 4(p + -4) + -11 -3p + (3 * -3 + -3p * -3) = 4(p + -4) + -11 -3p + (-9 + 9p) = 4(p + -4) + -11 Reorder the terms: -9 + -3p + 9p = 4(p + -4) + -11 Combine like terms: -3p + 9p = 6p -9 + 6p = 4(p + -4) + -11 Reorder the terms: -9 + 6p = 4(-4 + p) + -11 -9 + 6p = (-4 * 4 + p * 4) + -11 -9 + 6p = (-16 + 4p) + -11 Reorder the terms: -9 + 6p = -16 + -11 + 4p Combine like terms: -16 + -11 = -27 -9 + 6p = -27 + 4p Solving -9 + 6p = -27 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -9 + 6p + -4p = -27 + 4p + -4p Combine like terms: 6p + -4p = 2p -9 + 2p = -27 + 4p + -4p Combine like terms: 4p + -4p = 0 -9 + 2p = -27 + 0 -9 + 2p = -27 Add '9' to each side of the equation. -9 + 9 + 2p = -27 + 9 Combine like terms: -9 + 9 = 0 0 + 2p = -27 + 9 2p = -27 + 9 Combine like terms: -27 + 9 = -18 2p = -18 Divide each side by '2'. p = -9 Simplifying p = -9
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