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Simplifying -35 + 7p = 7(3p + 5) Reorder the terms: -35 + 7p = 7(5 + 3p) -35 + 7p = (5 * 7 + 3p * 7) -35 + 7p = (35 + 21p) Solving -35 + 7p = 35 + 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 + 7p + -21p = 35 + 21p + -21p Combine like terms: 7p + -21p = -14p -35 + -14p = 35 + 21p + -21p Combine like terms: 21p + -21p = 0 -35 + -14p = 35 + 0 -35 + -14p = 35 Add '35' to each side of the equation. -35 + 35 + -14p = 35 + 35 Combine like terms: -35 + 35 = 0 0 + -14p = 35 + 35 -14p = 35 + 35 Combine like terms: 35 + 35 = 70 -14p = 70 Divide each side by '-14'. p = -5 Simplifying p = -5
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