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Simplifying 7p + -1(3p + 4) = -3(2p + -1) + 10 Reorder the terms: 7p + -1(4 + 3p) = -3(2p + -1) + 10 7p + (4 * -1 + 3p * -1) = -3(2p + -1) + 10 7p + (-4 + -3p) = -3(2p + -1) + 10 Reorder the terms: -4 + 7p + -3p = -3(2p + -1) + 10 Combine like terms: 7p + -3p = 4p -4 + 4p = -3(2p + -1) + 10 Reorder the terms: -4 + 4p = -3(-1 + 2p) + 10 -4 + 4p = (-1 * -3 + 2p * -3) + 10 -4 + 4p = (3 + -6p) + 10 Reorder the terms: -4 + 4p = 3 + 10 + -6p Combine like terms: 3 + 10 = 13 -4 + 4p = 13 + -6p Solving -4 + 4p = 13 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. -4 + 4p + 6p = 13 + -6p + 6p Combine like terms: 4p + 6p = 10p -4 + 10p = 13 + -6p + 6p Combine like terms: -6p + 6p = 0 -4 + 10p = 13 + 0 -4 + 10p = 13 Add '4' to each side of the equation. -4 + 4 + 10p = 13 + 4 Combine like terms: -4 + 4 = 0 0 + 10p = 13 + 4 10p = 13 + 4 Combine like terms: 13 + 4 = 17 10p = 17 Divide each side by '10'. p = 1.7 Simplifying p = 1.7
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