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Simplifying 34 + 8p = 8(3p + -7) + -1p Reorder the terms: 34 + 8p = 8(-7 + 3p) + -1p 34 + 8p = (-7 * 8 + 3p * 8) + -1p 34 + 8p = (-56 + 24p) + -1p Combine like terms: 24p + -1p = 23p 34 + 8p = -56 + 23p Solving 34 + 8p = -56 + 23p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-23p' to each side of the equation. 34 + 8p + -23p = -56 + 23p + -23p Combine like terms: 8p + -23p = -15p 34 + -15p = -56 + 23p + -23p Combine like terms: 23p + -23p = 0 34 + -15p = -56 + 0 34 + -15p = -56 Add '-34' to each side of the equation. 34 + -34 + -15p = -56 + -34 Combine like terms: 34 + -34 = 0 0 + -15p = -56 + -34 -15p = -56 + -34 Combine like terms: -56 + -34 = -90 -15p = -90 Divide each side by '-15'. p = 6 Simplifying p = 6
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