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Simplifying 6(4 + p) + -3p = 2(p + 4) (4 * 6 + p * 6) + -3p = 2(p + 4) (24 + 6p) + -3p = 2(p + 4) Combine like terms: 6p + -3p = 3p 24 + 3p = 2(p + 4) Reorder the terms: 24 + 3p = 2(4 + p) 24 + 3p = (4 * 2 + p * 2) 24 + 3p = (8 + 2p) Solving 24 + 3p = 8 + 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 = 8 + 2p + -2p Combine like terms: 3p + -2p = 1p 24 + 1p = 8 + 2p + -2p Combine like terms: 2p + -2p = 0 24 + 1p = 8 + 0 24 + 1p = 8 Add '-24' to each side of the equation. 24 + -24 + 1p = 8 + -24 Combine like terms: 24 + -24 = 0 0 + 1p = 8 + -24 1p = 8 + -24 Combine like terms: 8 + -24 = -16 1p = -16 Divide each side by '1'. p = -16 Simplifying p = -16
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