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Simplifying -7 + -11(-9p + 9) = -7p + -3(1 + -1p) Reorder the terms: -7 + -11(9 + -9p) = -7p + -3(1 + -1p) -7 + (9 * -11 + -9p * -11) = -7p + -3(1 + -1p) -7 + (-99 + 99p) = -7p + -3(1 + -1p) Combine like terms: -7 + -99 = -106 -106 + 99p = -7p + -3(1 + -1p) -106 + 99p = -7p + (1 * -3 + -1p * -3) -106 + 99p = -7p + (-3 + 3p) Reorder the terms: -106 + 99p = -3 + -7p + 3p Combine like terms: -7p + 3p = -4p -106 + 99p = -3 + -4p Solving -106 + 99p = -3 + -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. -106 + 99p + 4p = -3 + -4p + 4p Combine like terms: 99p + 4p = 103p -106 + 103p = -3 + -4p + 4p Combine like terms: -4p + 4p = 0 -106 + 103p = -3 + 0 -106 + 103p = -3 Add '106' to each side of the equation. -106 + 106 + 103p = -3 + 106 Combine like terms: -106 + 106 = 0 0 + 103p = -3 + 106 103p = -3 + 106 Combine like terms: -3 + 106 = 103 103p = 103 Divide each side by '103'. p = 1 Simplifying p = 1
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