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Simplifying 9(p + 3) = 35p + 1 Reorder the terms: 9(3 + p) = 35p + 1 (3 * 9 + p * 9) = 35p + 1 (27 + 9p) = 35p + 1 Reorder the terms: 27 + 9p = 1 + 35p Solving 27 + 9p = 1 + 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. 27 + 9p + -35p = 1 + 35p + -35p Combine like terms: 9p + -35p = -26p 27 + -26p = 1 + 35p + -35p Combine like terms: 35p + -35p = 0 27 + -26p = 1 + 0 27 + -26p = 1 Add '-27' to each side of the equation. 27 + -27 + -26p = 1 + -27 Combine like terms: 27 + -27 = 0 0 + -26p = 1 + -27 -26p = 1 + -27 Combine like terms: 1 + -27 = -26 -26p = -26 Divide each side by '-26'. p = 1 Simplifying p = 1
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