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Simplifying 145 = 7 + 6(2p + 7) Reorder the terms: 145 = 7 + 6(7 + 2p) 145 = 7 + (7 * 6 + 2p * 6) 145 = 7 + (42 + 12p) Combine like terms: 7 + 42 = 49 145 = 49 + 12p Solving 145 = 49 + 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. 145 + -12p = 49 + 12p + -12p Combine like terms: 12p + -12p = 0 145 + -12p = 49 + 0 145 + -12p = 49 Add '-145' to each side of the equation. 145 + -145 + -12p = 49 + -145 Combine like terms: 145 + -145 = 0 0 + -12p = 49 + -145 -12p = 49 + -145 Combine like terms: 49 + -145 = -96 -12p = -96 Divide each side by '-12'. p = 8 Simplifying p = 8
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