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Simplifying 7p + -1(3p + 4) = -1(2p + -1) + 10 Reorder the terms: 7p + -1(4 + 3p) = -1(2p + -1) + 10 7p + (4 * -1 + 3p * -1) = -1(2p + -1) + 10 7p + (-4 + -3p) = -1(2p + -1) + 10 Reorder the terms: -4 + 7p + -3p = -1(2p + -1) + 10 Combine like terms: 7p + -3p = 4p -4 + 4p = -1(2p + -1) + 10 Reorder the terms: -4 + 4p = -1(-1 + 2p) + 10 -4 + 4p = (-1 * -1 + 2p * -1) + 10 -4 + 4p = (1 + -2p) + 10 Reorder the terms: -4 + 4p = 1 + 10 + -2p Combine like terms: 1 + 10 = 11 -4 + 4p = 11 + -2p Solving -4 + 4p = 11 + -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 + 4p + 2p = 11 + -2p + 2p Combine like terms: 4p + 2p = 6p -4 + 6p = 11 + -2p + 2p Combine like terms: -2p + 2p = 0 -4 + 6p = 11 + 0 -4 + 6p = 11 Add '4' to each side of the equation. -4 + 4 + 6p = 11 + 4 Combine like terms: -4 + 4 = 0 0 + 6p = 11 + 4 6p = 11 + 4 Combine like terms: 11 + 4 = 15 6p = 15 Divide each side by '6'. p = 2.5 Simplifying p = 2.5
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