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Simplifying -3(3p + 2) + -2(1 + -11p) = 3(4 + 4p) Reorder the terms: -3(2 + 3p) + -2(1 + -11p) = 3(4 + 4p) (2 * -3 + 3p * -3) + -2(1 + -11p) = 3(4 + 4p) (-6 + -9p) + -2(1 + -11p) = 3(4 + 4p) -6 + -9p + (1 * -2 + -11p * -2) = 3(4 + 4p) -6 + -9p + (-2 + 22p) = 3(4 + 4p) Reorder the terms: -6 + -2 + -9p + 22p = 3(4 + 4p) Combine like terms: -6 + -2 = -8 -8 + -9p + 22p = 3(4 + 4p) Combine like terms: -9p + 22p = 13p -8 + 13p = 3(4 + 4p) -8 + 13p = (4 * 3 + 4p * 3) -8 + 13p = (12 + 12p) Solving -8 + 13p = 12 + 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. -8 + 13p + -12p = 12 + 12p + -12p Combine like terms: 13p + -12p = 1p -8 + 1p = 12 + 12p + -12p Combine like terms: 12p + -12p = 0 -8 + 1p = 12 + 0 -8 + 1p = 12 Add '8' to each side of the equation. -8 + 8 + 1p = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 1p = 12 + 8 1p = 12 + 8 Combine like terms: 12 + 8 = 20 1p = 20 Divide each side by '1'. p = 20 Simplifying p = 20
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