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Simplifying 3(7 + 7p) + -4p = 7(3 + 5p) (7 * 3 + 7p * 3) + -4p = 7(3 + 5p) (21 + 21p) + -4p = 7(3 + 5p) Combine like terms: 21p + -4p = 17p 21 + 17p = 7(3 + 5p) 21 + 17p = (3 * 7 + 5p * 7) 21 + 17p = (21 + 35p) Add '-21' to each side of the equation. 21 + -21 + 17p = 21 + -21 + 35p Combine like terms: 21 + -21 = 0 0 + 17p = 21 + -21 + 35p 17p = 21 + -21 + 35p Combine like terms: 21 + -21 = 0 17p = 0 + 35p 17p = 35p Solving 17p = 35p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-35p' to each side of the equation. 17p + -35p = 35p + -35p Combine like terms: 17p + -35p = -18p -18p = 35p + -35p Combine like terms: 35p + -35p = 0 -18p = 0 Divide each side by '-18'. p = 0 Simplifying p = 0
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