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Simplifying -7 + -1(3p + 4) = -2(2p + -1) + 10 Reorder the terms: -7 + -1(4 + 3p) = -2(2p + -1) + 10 -7 + (4 * -1 + 3p * -1) = -2(2p + -1) + 10 -7 + (-4 + -3p) = -2(2p + -1) + 10 Combine like terms: -7 + -4 = -11 -11 + -3p = -2(2p + -1) + 10 Reorder the terms: -11 + -3p = -2(-1 + 2p) + 10 -11 + -3p = (-1 * -2 + 2p * -2) + 10 -11 + -3p = (2 + -4p) + 10 Reorder the terms: -11 + -3p = 2 + 10 + -4p Combine like terms: 2 + 10 = 12 -11 + -3p = 12 + -4p Solving -11 + -3p = 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. -11 + -3p + 4p = 12 + -4p + 4p Combine like terms: -3p + 4p = 1p -11 + 1p = 12 + -4p + 4p Combine like terms: -4p + 4p = 0 -11 + 1p = 12 + 0 -11 + 1p = 12 Add '11' to each side of the equation. -11 + 11 + 1p = 12 + 11 Combine like terms: -11 + 11 = 0 0 + 1p = 12 + 11 1p = 12 + 11 Combine like terms: 12 + 11 = 23 1p = 23 Divide each side by '1'. p = 23 Simplifying p = 23
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