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Simplifying -3(4p + 4) + -2(3 + -11) = 3(2 + 3p) Reorder the terms: -3(4 + 4p) + -2(3 + -11) = 3(2 + 3p) (4 * -3 + 4p * -3) + -2(3 + -11) = 3(2 + 3p) (-12 + -12p) + -2(3 + -11) = 3(2 + 3p) Combine like terms: 3 + -11 = -8 -12 + -12p + -2(-8) = 3(2 + 3p) Multiply -2 * -8 -12 + -12p + 16 = 3(2 + 3p) Reorder the terms: -12 + 16 + -12p = 3(2 + 3p) Combine like terms: -12 + 16 = 4 4 + -12p = 3(2 + 3p) 4 + -12p = (2 * 3 + 3p * 3) 4 + -12p = (6 + 9p) Solving 4 + -12p = 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. 4 + -12p + -9p = 6 + 9p + -9p Combine like terms: -12p + -9p = -21p 4 + -21p = 6 + 9p + -9p Combine like terms: 9p + -9p = 0 4 + -21p = 6 + 0 4 + -21p = 6 Add '-4' to each side of the equation. 4 + -4 + -21p = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -21p = 6 + -4 -21p = 6 + -4 Combine like terms: 6 + -4 = 2 -21p = 2 Divide each side by '-21'. p = -0.09523809524 Simplifying p = -0.09523809524
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