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Simplifying -11p + -5(2 + -3p) = 2(p + -2) + -16 -11p + (2 * -5 + -3p * -5) = 2(p + -2) + -16 -11p + (-10 + 15p) = 2(p + -2) + -16 Reorder the terms: -10 + -11p + 15p = 2(p + -2) + -16 Combine like terms: -11p + 15p = 4p -10 + 4p = 2(p + -2) + -16 Reorder the terms: -10 + 4p = 2(-2 + p) + -16 -10 + 4p = (-2 * 2 + p * 2) + -16 -10 + 4p = (-4 + 2p) + -16 Reorder the terms: -10 + 4p = -4 + -16 + 2p Combine like terms: -4 + -16 = -20 -10 + 4p = -20 + 2p Solving -10 + 4p = -20 + 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. -10 + 4p + -2p = -20 + 2p + -2p Combine like terms: 4p + -2p = 2p -10 + 2p = -20 + 2p + -2p Combine like terms: 2p + -2p = 0 -10 + 2p = -20 + 0 -10 + 2p = -20 Add '10' to each side of the equation. -10 + 10 + 2p = -20 + 10 Combine like terms: -10 + 10 = 0 0 + 2p = -20 + 10 2p = -20 + 10 Combine like terms: -20 + 10 = -10 2p = -10 Divide each side by '2'. p = -5 Simplifying p = -5
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