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Simplifying 10 + -3(p + 7) = 2(1 + -1p) Reorder the terms: 10 + -3(7 + p) = 2(1 + -1p) 10 + (7 * -3 + p * -3) = 2(1 + -1p) 10 + (-21 + -3p) = 2(1 + -1p) Combine like terms: 10 + -21 = -11 -11 + -3p = 2(1 + -1p) -11 + -3p = (1 * 2 + -1p * 2) -11 + -3p = (2 + -2p) Solving -11 + -3p = 2 + -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. -11 + -3p + 2p = 2 + -2p + 2p Combine like terms: -3p + 2p = -1p -11 + -1p = 2 + -2p + 2p Combine like terms: -2p + 2p = 0 -11 + -1p = 2 + 0 -11 + -1p = 2 Add '11' to each side of the equation. -11 + 11 + -1p = 2 + 11 Combine like terms: -11 + 11 = 0 0 + -1p = 2 + 11 -1p = 2 + 11 Combine like terms: 2 + 11 = 13 -1p = 13 Divide each side by '-1'. p = -13 Simplifying p = -13
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