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Simplifying -3(3p + 4) + -2(2 + -11p) = 3(8 + 4p) Reorder the terms: -3(4 + 3p) + -2(2 + -11p) = 3(8 + 4p) (4 * -3 + 3p * -3) + -2(2 + -11p) = 3(8 + 4p) (-12 + -9p) + -2(2 + -11p) = 3(8 + 4p) -12 + -9p + (2 * -2 + -11p * -2) = 3(8 + 4p) -12 + -9p + (-4 + 22p) = 3(8 + 4p) Reorder the terms: -12 + -4 + -9p + 22p = 3(8 + 4p) Combine like terms: -12 + -4 = -16 -16 + -9p + 22p = 3(8 + 4p) Combine like terms: -9p + 22p = 13p -16 + 13p = 3(8 + 4p) -16 + 13p = (8 * 3 + 4p * 3) -16 + 13p = (24 + 12p) Solving -16 + 13p = 24 + 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. -16 + 13p + -12p = 24 + 12p + -12p Combine like terms: 13p + -12p = 1p -16 + 1p = 24 + 12p + -12p Combine like terms: 12p + -12p = 0 -16 + 1p = 24 + 0 -16 + 1p = 24 Add '16' to each side of the equation. -16 + 16 + 1p = 24 + 16 Combine like terms: -16 + 16 = 0 0 + 1p = 24 + 16 1p = 24 + 16 Combine like terms: 24 + 16 = 40 1p = 40 Divide each side by '1'. p = 40 Simplifying p = 40
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