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Simplifying -35 + 5p = 3(1 + 7p) + -6 -35 + 5p = (1 * 3 + 7p * 3) + -6 -35 + 5p = (3 + 21p) + -6 Reorder the terms: -35 + 5p = 3 + -6 + 21p Combine like terms: 3 + -6 = -3 -35 + 5p = -3 + 21p Solving -35 + 5p = -3 + 21p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-21p' to each side of the equation. -35 + 5p + -21p = -3 + 21p + -21p Combine like terms: 5p + -21p = -16p -35 + -16p = -3 + 21p + -21p Combine like terms: 21p + -21p = 0 -35 + -16p = -3 + 0 -35 + -16p = -3 Add '35' to each side of the equation. -35 + 35 + -16p = -3 + 35 Combine like terms: -35 + 35 = 0 0 + -16p = -3 + 35 -16p = -3 + 35 Combine like terms: -3 + 35 = 32 -16p = 32 Divide each side by '-16'. p = -2 Simplifying p = -2
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