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Simplifying -3(4p + 4) + -2(6 + -11p) = 3(8 + 3p) Reorder the terms: -3(4 + 4p) + -2(6 + -11p) = 3(8 + 3p) (4 * -3 + 4p * -3) + -2(6 + -11p) = 3(8 + 3p) (-12 + -12p) + -2(6 + -11p) = 3(8 + 3p) -12 + -12p + (6 * -2 + -11p * -2) = 3(8 + 3p) -12 + -12p + (-12 + 22p) = 3(8 + 3p) Reorder the terms: -12 + -12 + -12p + 22p = 3(8 + 3p) Combine like terms: -12 + -12 = -24 -24 + -12p + 22p = 3(8 + 3p) Combine like terms: -12p + 22p = 10p -24 + 10p = 3(8 + 3p) -24 + 10p = (8 * 3 + 3p * 3) -24 + 10p = (24 + 9p) Solving -24 + 10p = 24 + 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. -24 + 10p + -9p = 24 + 9p + -9p Combine like terms: 10p + -9p = 1p -24 + 1p = 24 + 9p + -9p Combine like terms: 9p + -9p = 0 -24 + 1p = 24 + 0 -24 + 1p = 24 Add '24' to each side of the equation. -24 + 24 + 1p = 24 + 24 Combine like terms: -24 + 24 = 0 0 + 1p = 24 + 24 1p = 24 + 24 Combine like terms: 24 + 24 = 48 1p = 48 Divide each side by '1'. p = 48 Simplifying p = 48
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