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Simplifying 28 + 8p = 5(1 + -3p) 28 + 8p = (1 * 5 + -3p * 5) 28 + 8p = (5 + -15p) Solving 28 + 8p = 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. 28 + 8p + 15p = 5 + -15p + 15p Combine like terms: 8p + 15p = 23p 28 + 23p = 5 + -15p + 15p Combine like terms: -15p + 15p = 0 28 + 23p = 5 + 0 28 + 23p = 5 Add '-28' to each side of the equation. 28 + -28 + 23p = 5 + -28 Combine like terms: 28 + -28 = 0 0 + 23p = 5 + -28 23p = 5 + -28 Combine like terms: 5 + -28 = -23 23p = -23 Divide each side by '23'. p = -1 Simplifying p = -1
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