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Simplifying -3(4p + 2) + -2(5 + -11p) = 3(8 + 3p) Reorder the terms: -3(2 + 4p) + -2(5 + -11p) = 3(8 + 3p) (2 * -3 + 4p * -3) + -2(5 + -11p) = 3(8 + 3p) (-6 + -12p) + -2(5 + -11p) = 3(8 + 3p) -6 + -12p + (5 * -2 + -11p * -2) = 3(8 + 3p) -6 + -12p + (-10 + 22p) = 3(8 + 3p) Reorder the terms: -6 + -10 + -12p + 22p = 3(8 + 3p) Combine like terms: -6 + -10 = -16 -16 + -12p + 22p = 3(8 + 3p) Combine like terms: -12p + 22p = 10p -16 + 10p = 3(8 + 3p) -16 + 10p = (8 * 3 + 3p * 3) -16 + 10p = (24 + 9p) Solving -16 + 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. -16 + 10p + -9p = 24 + 9p + -9p Combine like terms: 10p + -9p = 1p -16 + 1p = 24 + 9p + -9p Combine like terms: 9p + -9p = 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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