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Simplifying -4(1 + 3p) + -1(p + -4) = 6p + 2p (1 * -4 + 3p * -4) + -1(p + -4) = 6p + 2p (-4 + -12p) + -1(p + -4) = 6p + 2p Reorder the terms: -4 + -12p + -1(-4 + p) = 6p + 2p -4 + -12p + (-4 * -1 + p * -1) = 6p + 2p -4 + -12p + (4 + -1p) = 6p + 2p Reorder the terms: -4 + 4 + -12p + -1p = 6p + 2p Combine like terms: -4 + 4 = 0 0 + -12p + -1p = 6p + 2p -12p + -1p = 6p + 2p Combine like terms: -12p + -1p = -13p -13p = 6p + 2p Combine like terms: 6p + 2p = 8p -13p = 8p Solving -13p = 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -13p + -8p = 8p + -8p Combine like terms: -13p + -8p = -21p -21p = 8p + -8p Combine like terms: 8p + -8p = 0 -21p = 0 Divide each side by '-21'. p = 0 Simplifying p = 0
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