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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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