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Simplifying -3(3p + 2) + -2(2 + -11p) = 3(3 + 4p) Reorder the terms: -3(2 + 3p) + -2(2 + -11p) = 3(3 + 4p) (2 * -3 + 3p * -3) + -2(2 + -11p) = 3(3 + 4p) (-6 + -9p) + -2(2 + -11p) = 3(3 + 4p) -6 + -9p + (2 * -2 + -11p * -2) = 3(3 + 4p) -6 + -9p + (-4 + 22p) = 3(3 + 4p) Reorder the terms: -6 + -4 + -9p + 22p = 3(3 + 4p) Combine like terms: -6 + -4 = -10 -10 + -9p + 22p = 3(3 + 4p) Combine like terms: -9p + 22p = 13p -10 + 13p = 3(3 + 4p) -10 + 13p = (3 * 3 + 4p * 3) -10 + 13p = (9 + 12p) Solving -10 + 13p = 9 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. -10 + 13p + -12p = 9 + 12p + -12p Combine like terms: 13p + -12p = 1p -10 + 1p = 9 + 12p + -12p Combine like terms: 12p + -12p = 0 -10 + 1p = 9 + 0 -10 + 1p = 9 Add '10' to each side of the equation. -10 + 10 + 1p = 9 + 10 Combine like terms: -10 + 10 = 0 0 + 1p = 9 + 10 1p = 9 + 10 Combine like terms: 9 + 10 = 19 1p = 19 Divide each side by '1'. p = 19 Simplifying p = 19
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