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Simplifying 6 + 3(8 + -7p) = -22 + -8p 6 + (8 * 3 + -7p * 3) = -22 + -8p 6 + (24 + -21p) = -22 + -8p Combine like terms: 6 + 24 = 30 30 + -21p = -22 + -8p Solving 30 + -21p = -22 + -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. 30 + -21p + 8p = -22 + -8p + 8p Combine like terms: -21p + 8p = -13p 30 + -13p = -22 + -8p + 8p Combine like terms: -8p + 8p = 0 30 + -13p = -22 + 0 30 + -13p = -22 Add '-30' to each side of the equation. 30 + -30 + -13p = -22 + -30 Combine like terms: 30 + -30 = 0 0 + -13p = -22 + -30 -13p = -22 + -30 Combine like terms: -22 + -30 = -52 -13p = -52 Divide each side by '-13'. p = 4 Simplifying p = 4
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