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Simplifying 6(p + 4) = 8(p + -2) Reorder the terms: 6(4 + p) = 8(p + -2) (4 * 6 + p * 6) = 8(p + -2) (24 + 6p) = 8(p + -2) Reorder the terms: 24 + 6p = 8(-2 + p) 24 + 6p = (-2 * 8 + p * 8) 24 + 6p = (-16 + 8p) Solving 24 + 6p = -16 + 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. 24 + 6p + -8p = -16 + 8p + -8p Combine like terms: 6p + -8p = -2p 24 + -2p = -16 + 8p + -8p Combine like terms: 8p + -8p = 0 24 + -2p = -16 + 0 24 + -2p = -16 Add '-24' to each side of the equation. 24 + -24 + -2p = -16 + -24 Combine like terms: 24 + -24 = 0 0 + -2p = -16 + -24 -2p = -16 + -24 Combine like terms: -16 + -24 = -40 -2p = -40 Divide each side by '-2'. p = 20 Simplifying p = 20
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