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Simplifying 7p + -1(3p + 4) = -2(2p + -1) + 10 Reorder the terms: 7p + -1(4 + 3p) = -2(2p + -1) + 10 7p + (4 * -1 + 3p * -1) = -2(2p + -1) + 10 7p + (-4 + -3p) = -2(2p + -1) + 10 Reorder the terms: -4 + 7p + -3p = -2(2p + -1) + 10 Combine like terms: 7p + -3p = 4p -4 + 4p = -2(2p + -1) + 10 Reorder the terms: -4 + 4p = -2(-1 + 2p) + 10 -4 + 4p = (-1 * -2 + 2p * -2) + 10 -4 + 4p = (2 + -4p) + 10 Reorder the terms: -4 + 4p = 2 + 10 + -4p Combine like terms: 2 + 10 = 12 -4 + 4p = 12 + -4p Solving -4 + 4p = 12 + -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. -4 + 4p + 4p = 12 + -4p + 4p Combine like terms: 4p + 4p = 8p -4 + 8p = 12 + -4p + 4p Combine like terms: -4p + 4p = 0 -4 + 8p = 12 + 0 -4 + 8p = 12 Add '4' to each side of the equation. -4 + 4 + 8p = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 8p = 12 + 4 8p = 12 + 4 Combine like terms: 12 + 4 = 16 8p = 16 Divide each side by '8'. p = 2 Simplifying p = 2
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