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Simplifying 7(6p + 2) = 7(3p + 5) Reorder the terms: 7(2 + 6p) = 7(3p + 5) (2 * 7 + 6p * 7) = 7(3p + 5) (14 + 42p) = 7(3p + 5) Reorder the terms: 14 + 42p = 7(5 + 3p) 14 + 42p = (5 * 7 + 3p * 7) 14 + 42p = (35 + 21p) Solving 14 + 42p = 35 + 21p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-21p' to each side of the equation. 14 + 42p + -21p = 35 + 21p + -21p Combine like terms: 42p + -21p = 21p 14 + 21p = 35 + 21p + -21p Combine like terms: 21p + -21p = 0 14 + 21p = 35 + 0 14 + 21p = 35 Add '-14' to each side of the equation. 14 + -14 + 21p = 35 + -14 Combine like terms: 14 + -14 = 0 0 + 21p = 35 + -14 21p = 35 + -14 Combine like terms: 35 + -14 = 21 21p = 21 Divide each side by '21'. p = 1 Simplifying p = 1
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