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Simplifying (p + -12) = -1(2p + -1) + 7 Reorder the terms: (-12 + p) = -1(2p + -1) + 7 Remove parenthesis around (-12 + p) -12 + p = -1(2p + -1) + 7 Reorder the terms: -12 + p = -1(-1 + 2p) + 7 -12 + p = (-1 * -1 + 2p * -1) + 7 -12 + p = (1 + -2p) + 7 Reorder the terms: -12 + p = 1 + 7 + -2p Combine like terms: 1 + 7 = 8 -12 + p = 8 + -2p Solving -12 + p = 8 + -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. -12 + p + 2p = 8 + -2p + 2p Combine like terms: p + 2p = 3p -12 + 3p = 8 + -2p + 2p Combine like terms: -2p + 2p = 0 -12 + 3p = 8 + 0 -12 + 3p = 8 Add '12' to each side of the equation. -12 + 12 + 3p = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 3p = 8 + 12 3p = 8 + 12 Combine like terms: 8 + 12 = 20 3p = 20 Divide each side by '3'. p = 6.666666667 Simplifying p = 6.666666667
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