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Simplifying -3(7p + 5) + -11(-5 + -1p) = -2p + 12p Reorder the terms: -3(5 + 7p) + -11(-5 + -1p) = -2p + 12p (5 * -3 + 7p * -3) + -11(-5 + -1p) = -2p + 12p (-15 + -21p) + -11(-5 + -1p) = -2p + 12p -15 + -21p + (-5 * -11 + -1p * -11) = -2p + 12p -15 + -21p + (55 + 11p) = -2p + 12p Reorder the terms: -15 + 55 + -21p + 11p = -2p + 12p Combine like terms: -15 + 55 = 40 40 + -21p + 11p = -2p + 12p Combine like terms: -21p + 11p = -10p 40 + -10p = -2p + 12p Combine like terms: -2p + 12p = 10p 40 + -10p = 10p Solving 40 + -10p = 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. 40 + -10p + -10p = 10p + -10p Combine like terms: -10p + -10p = -20p 40 + -20p = 10p + -10p Combine like terms: 10p + -10p = 0 40 + -20p = 0 Add '-40' to each side of the equation. 40 + -40 + -20p = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -20p = 0 + -40 -20p = 0 + -40 Combine like terms: 0 + -40 = -40 -20p = -40 Divide each side by '-20'. p = 2 Simplifying p = 2
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