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Simplifying -16p + -5(3 + -4p) = 2(p + -4) + -11 -16p + (3 * -5 + -4p * -5) = 2(p + -4) + -11 -16p + (-15 + 20p) = 2(p + -4) + -11 Reorder the terms: -15 + -16p + 20p = 2(p + -4) + -11 Combine like terms: -16p + 20p = 4p -15 + 4p = 2(p + -4) + -11 Reorder the terms: -15 + 4p = 2(-4 + p) + -11 -15 + 4p = (-4 * 2 + p * 2) + -11 -15 + 4p = (-8 + 2p) + -11 Reorder the terms: -15 + 4p = -8 + -11 + 2p Combine like terms: -8 + -11 = -19 -15 + 4p = -19 + 2p Solving -15 + 4p = -19 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. -15 + 4p + -2p = -19 + 2p + -2p Combine like terms: 4p + -2p = 2p -15 + 2p = -19 + 2p + -2p Combine like terms: 2p + -2p = 0 -15 + 2p = -19 + 0 -15 + 2p = -19 Add '15' to each side of the equation. -15 + 15 + 2p = -19 + 15 Combine like terms: -15 + 15 = 0 0 + 2p = -19 + 15 2p = -19 + 15 Combine like terms: -19 + 15 = -4 2p = -4 Divide each side by '2'. p = -2 Simplifying p = -2
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