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Simplifying 38 = -4(6 + -4p) + 6(p + 3) 38 = (6 * -4 + -4p * -4) + 6(p + 3) 38 = (-24 + 16p) + 6(p + 3) Reorder the terms: 38 = -24 + 16p + 6(3 + p) 38 = -24 + 16p + (3 * 6 + p * 6) 38 = -24 + 16p + (18 + 6p) Reorder the terms: 38 = -24 + 18 + 16p + 6p Combine like terms: -24 + 18 = -6 38 = -6 + 16p + 6p Combine like terms: 16p + 6p = 22p 38 = -6 + 22p Solving 38 = -6 + 22p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-22p' to each side of the equation. 38 + -22p = -6 + 22p + -22p Combine like terms: 22p + -22p = 0 38 + -22p = -6 + 0 38 + -22p = -6 Add '-38' to each side of the equation. 38 + -38 + -22p = -6 + -38 Combine like terms: 38 + -38 = 0 0 + -22p = -6 + -38 -22p = -6 + -38 Combine like terms: -6 + -38 = -44 -22p = -44 Divide each side by '-22'. p = 2 Simplifying p = 2
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