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