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Simplifying 15p + 14 = 2(5p + 6) Reorder the terms: 14 + 15p = 2(5p + 6) Reorder the terms: 14 + 15p = 2(6 + 5p) 14 + 15p = (6 * 2 + 5p * 2) 14 + 15p = (12 + 10p) Solving 14 + 15p = 12 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. 14 + 15p + -10p = 12 + 10p + -10p Combine like terms: 15p + -10p = 5p 14 + 5p = 12 + 10p + -10p Combine like terms: 10p + -10p = 0 14 + 5p = 12 + 0 14 + 5p = 12 Add '-14' to each side of the equation. 14 + -14 + 5p = 12 + -14 Combine like terms: 14 + -14 = 0 0 + 5p = 12 + -14 5p = 12 + -14 Combine like terms: 12 + -14 = -2 5p = -2 Divide each side by '5'. p = -0.4 Simplifying p = -0.4
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