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Simplifying -3(4p + 6) + -2(2 + -11p) = 3(3 + 3p) Reorder the terms: -3(6 + 4p) + -2(2 + -11p) = 3(3 + 3p) (6 * -3 + 4p * -3) + -2(2 + -11p) = 3(3 + 3p) (-18 + -12p) + -2(2 + -11p) = 3(3 + 3p) -18 + -12p + (2 * -2 + -11p * -2) = 3(3 + 3p) -18 + -12p + (-4 + 22p) = 3(3 + 3p) Reorder the terms: -18 + -4 + -12p + 22p = 3(3 + 3p) Combine like terms: -18 + -4 = -22 -22 + -12p + 22p = 3(3 + 3p) Combine like terms: -12p + 22p = 10p -22 + 10p = 3(3 + 3p) -22 + 10p = (3 * 3 + 3p * 3) -22 + 10p = (9 + 9p) Solving -22 + 10p = 9 + 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. -22 + 10p + -9p = 9 + 9p + -9p Combine like terms: 10p + -9p = 1p -22 + 1p = 9 + 9p + -9p Combine like terms: 9p + -9p = 0 -22 + 1p = 9 + 0 -22 + 1p = 9 Add '22' to each side of the equation. -22 + 22 + 1p = 9 + 22 Combine like terms: -22 + 22 = 0 0 + 1p = 9 + 22 1p = 9 + 22 Combine like terms: 9 + 22 = 31 1p = 31 Divide each side by '1'. p = 31 Simplifying p = 31
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