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Simplifying 11(9 + -4) = 5(p + 3) Combine like terms: 9 + -4 = 5 11(5) = 5(p + 3) Multiply 11 * 5 55 = 5(p + 3) Reorder the terms: 55 = 5(3 + p) 55 = (3 * 5 + p * 5) 55 = (15 + 5p) Solving 55 = 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. 55 + -5p = 15 + 5p + -5p Combine like terms: 5p + -5p = 0 55 + -5p = 15 + 0 55 + -5p = 15 Add '-55' to each side of the equation. 55 + -55 + -5p = 15 + -55 Combine like terms: 55 + -55 = 0 0 + -5p = 15 + -55 -5p = 15 + -55 Combine like terms: 15 + -55 = -40 -5p = -40 Divide each side by '-5'. p = 8 Simplifying p = 8
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