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Simplifying -34 = -8(2 + -6p) + -6(-2p + -7) -34 = (2 * -8 + -6p * -8) + -6(-2p + -7) -34 = (-16 + 48p) + -6(-2p + -7) Reorder the terms: -34 = -16 + 48p + -6(-7 + -2p) -34 = -16 + 48p + (-7 * -6 + -2p * -6) -34 = -16 + 48p + (42 + 12p) Reorder the terms: -34 = -16 + 42 + 48p + 12p Combine like terms: -16 + 42 = 26 -34 = 26 + 48p + 12p Combine like terms: 48p + 12p = 60p -34 = 26 + 60p Solving -34 = 26 + 60p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-60p' to each side of the equation. -34 + -60p = 26 + 60p + -60p Combine like terms: 60p + -60p = 0 -34 + -60p = 26 + 0 -34 + -60p = 26 Add '34' to each side of the equation. -34 + 34 + -60p = 26 + 34 Combine like terms: -34 + 34 = 0 0 + -60p = 26 + 34 -60p = 26 + 34 Combine like terms: 26 + 34 = 60 -60p = 60 Divide each side by '-60'. p = -1 Simplifying p = -1
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