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Simplifying (p + -6) = 8p + -34 Reorder the terms: (-6 + p) = 8p + -34 Remove parenthesis around (-6 + p) -6 + p = 8p + -34 Reorder the terms: -6 + p = -34 + 8p Solving -6 + p = -34 + 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. -6 + p + -8p = -34 + 8p + -8p Combine like terms: p + -8p = -7p -6 + -7p = -34 + 8p + -8p Combine like terms: 8p + -8p = 0 -6 + -7p = -34 + 0 -6 + -7p = -34 Add '6' to each side of the equation. -6 + 6 + -7p = -34 + 6 Combine like terms: -6 + 6 = 0 0 + -7p = -34 + 6 -7p = -34 + 6 Combine like terms: -34 + 6 = -28 -7p = -28 Divide each side by '-7'. p = 4 Simplifying p = 4
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