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Simplifying -16p + -5(6 + -4p) = 2(p + -5) + -16 -16p + (6 * -5 + -4p * -5) = 2(p + -5) + -16 -16p + (-30 + 20p) = 2(p + -5) + -16 Reorder the terms: -30 + -16p + 20p = 2(p + -5) + -16 Combine like terms: -16p + 20p = 4p -30 + 4p = 2(p + -5) + -16 Reorder the terms: -30 + 4p = 2(-5 + p) + -16 -30 + 4p = (-5 * 2 + p * 2) + -16 -30 + 4p = (-10 + 2p) + -16 Reorder the terms: -30 + 4p = -10 + -16 + 2p Combine like terms: -10 + -16 = -26 -30 + 4p = -26 + 2p Solving -30 + 4p = -26 + 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. -30 + 4p + -2p = -26 + 2p + -2p Combine like terms: 4p + -2p = 2p -30 + 2p = -26 + 2p + -2p Combine like terms: 2p + -2p = 0 -30 + 2p = -26 + 0 -30 + 2p = -26 Add '30' to each side of the equation. -30 + 30 + 2p = -26 + 30 Combine like terms: -30 + 30 = 0 0 + 2p = -26 + 30 2p = -26 + 30 Combine like terms: -26 + 30 = 4 2p = 4 Divide each side by '2'. p = 2 Simplifying p = 2
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