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Simplifying -100 = -5(3p + -1) Reorder the terms: -100 = -5(-1 + 3p) -100 = (-1 * -5 + 3p * -5) -100 = (5 + -15p) Solving -100 = 5 + -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. -100 + 15p = 5 + -15p + 15p Combine like terms: -15p + 15p = 0 -100 + 15p = 5 + 0 -100 + 15p = 5 Add '100' to each side of the equation. -100 + 100 + 15p = 5 + 100 Combine like terms: -100 + 100 = 0 0 + 15p = 5 + 100 15p = 5 + 100 Combine like terms: 5 + 100 = 105 15p = 105 Divide each side by '15'. p = 7 Simplifying p = 7
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