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Simplifying 7(2p + 6) = 6(2p + 7) Reorder the terms: 7(6 + 2p) = 6(2p + 7) (6 * 7 + 2p * 7) = 6(2p + 7) (42 + 14p) = 6(2p + 7) Reorder the terms: 42 + 14p = 6(7 + 2p) 42 + 14p = (7 * 6 + 2p * 6) 42 + 14p = (42 + 12p) Add '-42' to each side of the equation. 42 + -42 + 14p = 42 + -42 + 12p Combine like terms: 42 + -42 = 0 0 + 14p = 42 + -42 + 12p 14p = 42 + -42 + 12p Combine like terms: 42 + -42 = 0 14p = 0 + 12p 14p = 12p Solving 14p = 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. 14p + -12p = 12p + -12p Combine like terms: 14p + -12p = 2p 2p = 12p + -12p Combine like terms: 12p + -12p = 0 2p = 0 Divide each side by '2'. p = 0 Simplifying p = 0
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