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Simplifying 9 + 5p = -6 + -5(3 + -7p) 9 + 5p = -6 + (3 * -5 + -7p * -5) 9 + 5p = -6 + (-15 + 35p) Combine like terms: -6 + -15 = -21 9 + 5p = -21 + 35p Solving 9 + 5p = -21 + 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. 9 + 5p + -35p = -21 + 35p + -35p Combine like terms: 5p + -35p = -30p 9 + -30p = -21 + 35p + -35p Combine like terms: 35p + -35p = 0 9 + -30p = -21 + 0 9 + -30p = -21 Add '-9' to each side of the equation. 9 + -9 + -30p = -21 + -9 Combine like terms: 9 + -9 = 0 0 + -30p = -21 + -9 -30p = -21 + -9 Combine like terms: -21 + -9 = -30 -30p = -30 Divide each side by '-30'. p = 1 Simplifying p = 1
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