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Simplifying 9p + -1(6p + 11) = 9 + -1(4p + -4) Reorder the terms: 9p + -1(11 + 6p) = 9 + -1(4p + -4) 9p + (11 * -1 + 6p * -1) = 9 + -1(4p + -4) 9p + (-11 + -6p) = 9 + -1(4p + -4) Reorder the terms: -11 + 9p + -6p = 9 + -1(4p + -4) Combine like terms: 9p + -6p = 3p -11 + 3p = 9 + -1(4p + -4) Reorder the terms: -11 + 3p = 9 + -1(-4 + 4p) -11 + 3p = 9 + (-4 * -1 + 4p * -1) -11 + 3p = 9 + (4 + -4p) Combine like terms: 9 + 4 = 13 -11 + 3p = 13 + -4p Solving -11 + 3p = 13 + -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 = 13 + -4p + 4p Combine like terms: 3p + 4p = 7p -11 + 7p = 13 + -4p + 4p Combine like terms: -4p + 4p = 0 -11 + 7p = 13 + 0 -11 + 7p = 13 Add '11' to each side of the equation. -11 + 11 + 7p = 13 + 11 Combine like terms: -11 + 11 = 0 0 + 7p = 13 + 11 7p = 13 + 11 Combine like terms: 13 + 11 = 24 7p = 24 Divide each side by '7'. p = 3.428571429 Simplifying p = 3.428571429
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