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Simplifying 1 + 7(3 + 3p) = 40 + 3p 1 + (3 * 7 + 3p * 7) = 40 + 3p 1 + (21 + 21p) = 40 + 3p Combine like terms: 1 + 21 = 22 22 + 21p = 40 + 3p Solving 22 + 21p = 40 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 22 + 21p + -3p = 40 + 3p + -3p Combine like terms: 21p + -3p = 18p 22 + 18p = 40 + 3p + -3p Combine like terms: 3p + -3p = 0 22 + 18p = 40 + 0 22 + 18p = 40 Add '-22' to each side of the equation. 22 + -22 + 18p = 40 + -22 Combine like terms: 22 + -22 = 0 0 + 18p = 40 + -22 18p = 40 + -22 Combine like terms: 40 + -22 = 18 18p = 18 Divide each side by '18'. p = 1 Simplifying p = 1
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