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Simplifying -2(6p + 1) = 5(1 + -2p) + -1 Reorder the terms: -2(1 + 6p) = 5(1 + -2p) + -1 (1 * -2 + 6p * -2) = 5(1 + -2p) + -1 (-2 + -12p) = 5(1 + -2p) + -1 -2 + -12p = (1 * 5 + -2p * 5) + -1 -2 + -12p = (5 + -10p) + -1 Reorder the terms: -2 + -12p = 5 + -1 + -10p Combine like terms: 5 + -1 = 4 -2 + -12p = 4 + -10p Solving -2 + -12p = 4 + -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. -2 + -12p + 10p = 4 + -10p + 10p Combine like terms: -12p + 10p = -2p -2 + -2p = 4 + -10p + 10p Combine like terms: -10p + 10p = 0 -2 + -2p = 4 + 0 -2 + -2p = 4 Add '2' to each side of the equation. -2 + 2 + -2p = 4 + 2 Combine like terms: -2 + 2 = 0 0 + -2p = 4 + 2 -2p = 4 + 2 Combine like terms: 4 + 2 = 6 -2p = 6 Divide each side by '-2'. p = -3 Simplifying p = -3
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