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Simplifying 12 + -3(p + -4) = 2p + 4 Reorder the terms: 12 + -3(-4 + p) = 2p + 4 12 + (-4 * -3 + p * -3) = 2p + 4 12 + (12 + -3p) = 2p + 4 Combine like terms: 12 + 12 = 24 24 + -3p = 2p + 4 Reorder the terms: 24 + -3p = 4 + 2p Solving 24 + -3p = 4 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 24 + -3p + -2p = 4 + 2p + -2p Combine like terms: -3p + -2p = -5p 24 + -5p = 4 + 2p + -2p Combine like terms: 2p + -2p = 0 24 + -5p = 4 + 0 24 + -5p = 4 Add '-24' to each side of the equation. 24 + -24 + -5p = 4 + -24 Combine like terms: 24 + -24 = 0 0 + -5p = 4 + -24 -5p = 4 + -24 Combine like terms: 4 + -24 = -20 -5p = -20 Divide each side by '-5'. p = 4 Simplifying p = 4
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