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Simplifying 15 = 5(p + -4) + 5(p + 7) Reorder the terms: 15 = 5(-4 + p) + 5(p + 7) 15 = (-4 * 5 + p * 5) + 5(p + 7) 15 = (-20 + 5p) + 5(p + 7) Reorder the terms: 15 = -20 + 5p + 5(7 + p) 15 = -20 + 5p + (7 * 5 + p * 5) 15 = -20 + 5p + (35 + 5p) Reorder the terms: 15 = -20 + 35 + 5p + 5p Combine like terms: -20 + 35 = 15 15 = 15 + 5p + 5p Combine like terms: 5p + 5p = 10p 15 = 15 + 10p Add '-15' to each side of the equation. 15 + -15 = 15 + -15 + 10p Combine like terms: 15 + -15 = 0 0 = 15 + -15 + 10p Combine like terms: 15 + -15 = 0 0 = 0 + 10p 0 = 10p Solving 0 = 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. 0 + -10p = 10p + -10p Remove the zero: -10p = 10p + -10p Combine like terms: 10p + -10p = 0 -10p = 0 Divide each side by '-10'. p = 0 Simplifying p = 0
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