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Simplifying 9 + -3p = 8 + 5(p + -7) Reorder the terms: 9 + -3p = 8 + 5(-7 + p) 9 + -3p = 8 + (-7 * 5 + p * 5) 9 + -3p = 8 + (-35 + 5p) Combine like terms: 8 + -35 = -27 9 + -3p = -27 + 5p Solving 9 + -3p = -27 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 9 + -3p + -5p = -27 + 5p + -5p Combine like terms: -3p + -5p = -8p 9 + -8p = -27 + 5p + -5p Combine like terms: 5p + -5p = 0 9 + -8p = -27 + 0 9 + -8p = -27 Add '-9' to each side of the equation. 9 + -9 + -8p = -27 + -9 Combine like terms: 9 + -9 = 0 0 + -8p = -27 + -9 -8p = -27 + -9 Combine like terms: -27 + -9 = -36 -8p = -36 Divide each side by '-8'. p = 4.5 Simplifying p = 4.5
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