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Simplifying -28p + -6(5 + -6p) = 5(p + -3) + -15 -28p + (5 * -6 + -6p * -6) = 5(p + -3) + -15 -28p + (-30 + 36p) = 5(p + -3) + -15 Reorder the terms: -30 + -28p + 36p = 5(p + -3) + -15 Combine like terms: -28p + 36p = 8p -30 + 8p = 5(p + -3) + -15 Reorder the terms: -30 + 8p = 5(-3 + p) + -15 -30 + 8p = (-3 * 5 + p * 5) + -15 -30 + 8p = (-15 + 5p) + -15 Reorder the terms: -30 + 8p = -15 + -15 + 5p Combine like terms: -15 + -15 = -30 -30 + 8p = -30 + 5p Add '30' to each side of the equation. -30 + 30 + 8p = -30 + 30 + 5p Combine like terms: -30 + 30 = 0 0 + 8p = -30 + 30 + 5p 8p = -30 + 30 + 5p Combine like terms: -30 + 30 = 0 8p = 0 + 5p 8p = 5p Solving 8p = 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. 8p + -5p = 5p + -5p Combine like terms: 8p + -5p = 3p 3p = 5p + -5p Combine like terms: 5p + -5p = 0 3p = 0 Divide each side by '3'. p = 0 Simplifying p = 0
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