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Simplifying 6(7 + 2p) = 3(8p + -6) (7 * 6 + 2p * 6) = 3(8p + -6) (42 + 12p) = 3(8p + -6) Reorder the terms: 42 + 12p = 3(-6 + 8p) 42 + 12p = (-6 * 3 + 8p * 3) 42 + 12p = (-18 + 24p) Solving 42 + 12p = -18 + 24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24p' to each side of the equation. 42 + 12p + -24p = -18 + 24p + -24p Combine like terms: 12p + -24p = -12p 42 + -12p = -18 + 24p + -24p Combine like terms: 24p + -24p = 0 42 + -12p = -18 + 0 42 + -12p = -18 Add '-42' to each side of the equation. 42 + -42 + -12p = -18 + -42 Combine like terms: 42 + -42 = 0 0 + -12p = -18 + -42 -12p = -18 + -42 Combine like terms: -18 + -42 = -60 -12p = -60 Divide each side by '-12'. p = 5 Simplifying p = 5
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