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Simplifying -3(4p + 3) + -2(6 + -11p) = 3(6 + 3p) Reorder the terms: -3(3 + 4p) + -2(6 + -11p) = 3(6 + 3p) (3 * -3 + 4p * -3) + -2(6 + -11p) = 3(6 + 3p) (-9 + -12p) + -2(6 + -11p) = 3(6 + 3p) -9 + -12p + (6 * -2 + -11p * -2) = 3(6 + 3p) -9 + -12p + (-12 + 22p) = 3(6 + 3p) Reorder the terms: -9 + -12 + -12p + 22p = 3(6 + 3p) Combine like terms: -9 + -12 = -21 -21 + -12p + 22p = 3(6 + 3p) Combine like terms: -12p + 22p = 10p -21 + 10p = 3(6 + 3p) -21 + 10p = (6 * 3 + 3p * 3) -21 + 10p = (18 + 9p) Solving -21 + 10p = 18 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. -21 + 10p + -9p = 18 + 9p + -9p Combine like terms: 10p + -9p = 1p -21 + 1p = 18 + 9p + -9p Combine like terms: 9p + -9p = 0 -21 + 1p = 18 + 0 -21 + 1p = 18 Add '21' to each side of the equation. -21 + 21 + 1p = 18 + 21 Combine like terms: -21 + 21 = 0 0 + 1p = 18 + 21 1p = 18 + 21 Combine like terms: 18 + 21 = 39 1p = 39 Divide each side by '1'. p = 39 Simplifying p = 39
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