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Simplifying 9(4p + 12) = 15p + 3 Reorder the terms: 9(12 + 4p) = 15p + 3 (12 * 9 + 4p * 9) = 15p + 3 (108 + 36p) = 15p + 3 Reorder the terms: 108 + 36p = 3 + 15p Solving 108 + 36p = 3 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. 108 + 36p + -15p = 3 + 15p + -15p Combine like terms: 36p + -15p = 21p 108 + 21p = 3 + 15p + -15p Combine like terms: 15p + -15p = 0 108 + 21p = 3 + 0 108 + 21p = 3 Add '-108' to each side of the equation. 108 + -108 + 21p = 3 + -108 Combine like terms: 108 + -108 = 0 0 + 21p = 3 + -108 21p = 3 + -108 Combine like terms: 3 + -108 = -105 21p = -105 Divide each side by '21'. p = -5 Simplifying p = -5
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