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Simplifying 12 + -2(8p + 11) = -9 + -7(9 + p) Reorder the terms: 12 + -2(11 + 8p) = -9 + -7(9 + p) 12 + (11 * -2 + 8p * -2) = -9 + -7(9 + p) 12 + (-22 + -16p) = -9 + -7(9 + p) Combine like terms: 12 + -22 = -10 -10 + -16p = -9 + -7(9 + p) -10 + -16p = -9 + (9 * -7 + p * -7) -10 + -16p = -9 + (-63 + -7p) Combine like terms: -9 + -63 = -72 -10 + -16p = -72 + -7p Solving -10 + -16p = -72 + -7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7p' to each side of the equation. -10 + -16p + 7p = -72 + -7p + 7p Combine like terms: -16p + 7p = -9p -10 + -9p = -72 + -7p + 7p Combine like terms: -7p + 7p = 0 -10 + -9p = -72 + 0 -10 + -9p = -72 Add '10' to each side of the equation. -10 + 10 + -9p = -72 + 10 Combine like terms: -10 + 10 = 0 0 + -9p = -72 + 10 -9p = -72 + 10 Combine like terms: -72 + 10 = -62 -9p = -62 Divide each side by '-9'. p = 6.888888889 Simplifying p = 6.888888889
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