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Simplifying 28 + 3p = -1 + -7(5 + -5p) 28 + 3p = -1 + (5 * -7 + -5p * -7) 28 + 3p = -1 + (-35 + 35p) Combine like terms: -1 + -35 = -36 28 + 3p = -36 + 35p Solving 28 + 3p = -36 + 35p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-35p' to each side of the equation. 28 + 3p + -35p = -36 + 35p + -35p Combine like terms: 3p + -35p = -32p 28 + -32p = -36 + 35p + -35p Combine like terms: 35p + -35p = 0 28 + -32p = -36 + 0 28 + -32p = -36 Add '-28' to each side of the equation. 28 + -28 + -32p = -36 + -28 Combine like terms: 28 + -28 = 0 0 + -32p = -36 + -28 -32p = -36 + -28 Combine like terms: -36 + -28 = -64 -32p = -64 Divide each side by '-32'. p = 2 Simplifying p = 2
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