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Simplifying -3(-4p + 1) + -1 = 2 + 2p Reorder the terms: -3(1 + -4p) + -1 = 2 + 2p (1 * -3 + -4p * -3) + -1 = 2 + 2p (-3 + 12p) + -1 = 2 + 2p Reorder the terms: -3 + -1 + 12p = 2 + 2p Combine like terms: -3 + -1 = -4 -4 + 12p = 2 + 2p Solving -4 + 12p = 2 + 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. -4 + 12p + -2p = 2 + 2p + -2p Combine like terms: 12p + -2p = 10p -4 + 10p = 2 + 2p + -2p Combine like terms: 2p + -2p = 0 -4 + 10p = 2 + 0 -4 + 10p = 2 Add '4' to each side of the equation. -4 + 4 + 10p = 2 + 4 Combine like terms: -4 + 4 = 0 0 + 10p = 2 + 4 10p = 2 + 4 Combine like terms: 2 + 4 = 6 10p = 6 Divide each side by '10'. p = 0.6 Simplifying p = 0.6
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