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Simplifying 11(p + 3) = 5(p + 3) Reorder the terms: 11(3 + p) = 5(p + 3) (3 * 11 + p * 11) = 5(p + 3) (33 + 11p) = 5(p + 3) Reorder the terms: 33 + 11p = 5(3 + p) 33 + 11p = (3 * 5 + p * 5) 33 + 11p = (15 + 5p) Solving 33 + 11p = 15 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 33 + 11p + -5p = 15 + 5p + -5p Combine like terms: 11p + -5p = 6p 33 + 6p = 15 + 5p + -5p Combine like terms: 5p + -5p = 0 33 + 6p = 15 + 0 33 + 6p = 15 Add '-33' to each side of the equation. 33 + -33 + 6p = 15 + -33 Combine like terms: 33 + -33 = 0 0 + 6p = 15 + -33 6p = 15 + -33 Combine like terms: 15 + -33 = -18 6p = -18 Divide each side by '6'. p = -3 Simplifying p = -3
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