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Simplifying 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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