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Simplifying -3(4p + 4) + -2(3 + -11p) = 3(2 + 3p) Reorder the terms: -3(4 + 4p) + -2(3 + -11p) = 3(2 + 3p) (4 * -3 + 4p * -3) + -2(3 + -11p) = 3(2 + 3p) (-12 + -12p) + -2(3 + -11p) = 3(2 + 3p) -12 + -12p + (3 * -2 + -11p * -2) = 3(2 + 3p) -12 + -12p + (-6 + 22p) = 3(2 + 3p) Reorder the terms: -12 + -6 + -12p + 22p = 3(2 + 3p) Combine like terms: -12 + -6 = -18 -18 + -12p + 22p = 3(2 + 3p) Combine like terms: -12p + 22p = 10p -18 + 10p = 3(2 + 3p) -18 + 10p = (2 * 3 + 3p * 3) -18 + 10p = (6 + 9p) Solving -18 + 10p = 6 + 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. -18 + 10p + -9p = 6 + 9p + -9p Combine like terms: 10p + -9p = 1p -18 + 1p = 6 + 9p + -9p Combine like terms: 9p + -9p = 0 -18 + 1p = 6 + 0 -18 + 1p = 6 Add '18' to each side of the equation. -18 + 18 + 1p = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 1p = 6 + 18 1p = 6 + 18 Combine like terms: 6 + 18 = 24 1p = 24 Divide each side by '1'. p = 24 Simplifying p = 24
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