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Simplifying 5(9 + 3) + 9 = 3(p + -2) + 6 Combine like terms: 9 + 3 = 12 5(12) + 9 = 3(p + -2) + 6 Multiply 5 * 12 60 + 9 = 3(p + -2) + 6 Combine like terms: 60 + 9 = 69 69 = 3(p + -2) + 6 Reorder the terms: 69 = 3(-2 + p) + 6 69 = (-2 * 3 + p * 3) + 6 69 = (-6 + 3p) + 6 Reorder the terms: 69 = -6 + 6 + 3p Combine like terms: -6 + 6 = 0 69 = 0 + 3p 69 = 3p Solving 69 = 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. 69 + -3p = 3p + -3p Combine like terms: 3p + -3p = 0 69 + -3p = 0 Add '-69' to each side of the equation. 69 + -69 + -3p = 0 + -69 Combine like terms: 69 + -69 = 0 0 + -3p = 0 + -69 -3p = 0 + -69 Combine like terms: 0 + -69 = -69 -3p = -69 Divide each side by '-3'. p = 23 Simplifying p = 23
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