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Simplifying 11(1p + -3) = 5(1p + 3) Reorder the terms: 11(-3 + 1p) = 5(1p + 3) (-3 * 11 + 1p * 11) = 5(1p + 3) (-33 + 11p) = 5(1p + 3) Reorder the terms: -33 + 11p = 5(3 + 1p) -33 + 11p = (3 * 5 + 1p * 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 = 48 6p = 48 Divide each side by '6'. p = 8 Simplifying p = 8
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