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Simplifying -3(3p + -7) = -30 + 8p Reorder the terms: -3(-7 + 3p) = -30 + 8p (-7 * -3 + 3p * -3) = -30 + 8p (21 + -9p) = -30 + 8p Solving 21 + -9p = -30 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. 21 + -9p + -8p = -30 + 8p + -8p Combine like terms: -9p + -8p = -17p 21 + -17p = -30 + 8p + -8p Combine like terms: 8p + -8p = 0 21 + -17p = -30 + 0 21 + -17p = -30 Add '-21' to each side of the equation. 21 + -21 + -17p = -30 + -21 Combine like terms: 21 + -21 = 0 0 + -17p = -30 + -21 -17p = -30 + -21 Combine like terms: -30 + -21 = -51 -17p = -51 Divide each side by '-17'. p = 3 Simplifying p = 3
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