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Simplifying 3(p + -4) = 12 + 5p Reorder the terms: 3(-4 + p) = 12 + 5p (-4 * 3 + p * 3) = 12 + 5p (-12 + 3p) = 12 + 5p Solving -12 + 3p = 12 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -12 + 3p + -5p = 12 + 5p + -5p Combine like terms: 3p + -5p = -2p -12 + -2p = 12 + 5p + -5p Combine like terms: 5p + -5p = 0 -12 + -2p = 12 + 0 -12 + -2p = 12 Add '12' to each side of the equation. -12 + 12 + -2p = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -2p = 12 + 12 -2p = 12 + 12 Combine like terms: 12 + 12 = 24 -2p = 24 Divide each side by '-2'. p = -12 Simplifying p = -12
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