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Simplifying 3 = -4(4 + -6p) + -1(p + 4) 3 = (4 * -4 + -6p * -4) + -1(p + 4) 3 = (-16 + 24p) + -1(p + 4) Reorder the terms: 3 = -16 + 24p + -1(4 + p) 3 = -16 + 24p + (4 * -1 + p * -1) 3 = -16 + 24p + (-4 + -1p) Reorder the terms: 3 = -16 + -4 + 24p + -1p Combine like terms: -16 + -4 = -20 3 = -20 + 24p + -1p Combine like terms: 24p + -1p = 23p 3 = -20 + 23p Solving 3 = -20 + 23p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-23p' to each side of the equation. 3 + -23p = -20 + 23p + -23p Combine like terms: 23p + -23p = 0 3 + -23p = -20 + 0 3 + -23p = -20 Add '-3' to each side of the equation. 3 + -3 + -23p = -20 + -3 Combine like terms: 3 + -3 = 0 0 + -23p = -20 + -3 -23p = -20 + -3 Combine like terms: -20 + -3 = -23 -23p = -23 Divide each side by '-23'. p = 1 Simplifying p = 1
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