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Simplifying 2p + -5(1 + -3p) = 1 + -2(1 + -2p) 2p + (1 * -5 + -3p * -5) = 1 + -2(1 + -2p) 2p + (-5 + 15p) = 1 + -2(1 + -2p) Reorder the terms: -5 + 2p + 15p = 1 + -2(1 + -2p) Combine like terms: 2p + 15p = 17p -5 + 17p = 1 + -2(1 + -2p) -5 + 17p = 1 + (1 * -2 + -2p * -2) -5 + 17p = 1 + (-2 + 4p) Combine like terms: 1 + -2 = -1 -5 + 17p = -1 + 4p Solving -5 + 17p = -1 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -5 + 17p + -4p = -1 + 4p + -4p Combine like terms: 17p + -4p = 13p -5 + 13p = -1 + 4p + -4p Combine like terms: 4p + -4p = 0 -5 + 13p = -1 + 0 -5 + 13p = -1 Add '5' to each side of the equation. -5 + 5 + 13p = -1 + 5 Combine like terms: -5 + 5 = 0 0 + 13p = -1 + 5 13p = -1 + 5 Combine like terms: -1 + 5 = 4 13p = 4 Divide each side by '13'. p = 0.3076923077 Simplifying p = 0.3076923077
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