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Simplifying -3(3p + 3) + -2(3 + -11p) = 3(3 + 4p) Reorder the terms: -3(3 + 3p) + -2(3 + -11p) = 3(3 + 4p) (3 * -3 + 3p * -3) + -2(3 + -11p) = 3(3 + 4p) (-9 + -9p) + -2(3 + -11p) = 3(3 + 4p) -9 + -9p + (3 * -2 + -11p * -2) = 3(3 + 4p) -9 + -9p + (-6 + 22p) = 3(3 + 4p) Reorder the terms: -9 + -6 + -9p + 22p = 3(3 + 4p) Combine like terms: -9 + -6 = -15 -15 + -9p + 22p = 3(3 + 4p) Combine like terms: -9p + 22p = 13p -15 + 13p = 3(3 + 4p) -15 + 13p = (3 * 3 + 4p * 3) -15 + 13p = (9 + 12p) Solving -15 + 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. -15 + 13p + -12p = 9 + 12p + -12p Combine like terms: 13p + -12p = 1p -15 + 1p = 9 + 12p + -12p Combine like terms: 12p + -12p = 0 -15 + 1p = 9 + 0 -15 + 1p = 9 Add '15' to each side of the equation. -15 + 15 + 1p = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 1p = 9 + 15 1p = 9 + 15 Combine like terms: 9 + 15 = 24 1p = 24 Divide each side by '1'. p = 24 Simplifying p = 24
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