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Simplifying -5(1 + -3p) = -5(1 + -6p) (1 * -5 + -3p * -5) = -5(1 + -6p) (-5 + 15p) = -5(1 + -6p) -5 + 15p = (1 * -5 + -6p * -5) -5 + 15p = (-5 + 30p) Add '5' to each side of the equation. -5 + 5 + 15p = -5 + 5 + 30p Combine like terms: -5 + 5 = 0 0 + 15p = -5 + 5 + 30p 15p = -5 + 5 + 30p Combine like terms: -5 + 5 = 0 15p = 0 + 30p 15p = 30p Solving 15p = 30p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-30p' to each side of the equation. 15p + -30p = 30p + -30p Combine like terms: 15p + -30p = -15p -15p = 30p + -30p Combine like terms: 30p + -30p = 0 -15p = 0 Divide each side by '-15'. p = 0 Simplifying p = 0
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