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Simplifying -14p + -5(3 + -4p) = 4(p + -5) + -11 -14p + (3 * -5 + -4p * -5) = 4(p + -5) + -11 -14p + (-15 + 20p) = 4(p + -5) + -11 Reorder the terms: -15 + -14p + 20p = 4(p + -5) + -11 Combine like terms: -14p + 20p = 6p -15 + 6p = 4(p + -5) + -11 Reorder the terms: -15 + 6p = 4(-5 + p) + -11 -15 + 6p = (-5 * 4 + p * 4) + -11 -15 + 6p = (-20 + 4p) + -11 Reorder the terms: -15 + 6p = -20 + -11 + 4p Combine like terms: -20 + -11 = -31 -15 + 6p = -31 + 4p Solving -15 + 6p = -31 + 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. -15 + 6p + -4p = -31 + 4p + -4p Combine like terms: 6p + -4p = 2p -15 + 2p = -31 + 4p + -4p Combine like terms: 4p + -4p = 0 -15 + 2p = -31 + 0 -15 + 2p = -31 Add '15' to each side of the equation. -15 + 15 + 2p = -31 + 15 Combine like terms: -15 + 15 = 0 0 + 2p = -31 + 15 2p = -31 + 15 Combine like terms: -31 + 15 = -16 2p = -16 Divide each side by '2'. p = -8 Simplifying p = -8
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