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Simplifying -35 + 6p = p + 3(5 + 5p) -35 + 6p = p + (5 * 3 + 5p * 3) -35 + 6p = p + (15 + 15p) Reorder the terms: -35 + 6p = 15 + p + 15p Combine like terms: p + 15p = 16p -35 + 6p = 15 + 16p Solving -35 + 6p = 15 + 16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16p' to each side of the equation. -35 + 6p + -16p = 15 + 16p + -16p Combine like terms: 6p + -16p = -10p -35 + -10p = 15 + 16p + -16p Combine like terms: 16p + -16p = 0 -35 + -10p = 15 + 0 -35 + -10p = 15 Add '35' to each side of the equation. -35 + 35 + -10p = 15 + 35 Combine like terms: -35 + 35 = 0 0 + -10p = 15 + 35 -10p = 15 + 35 Combine like terms: 15 + 35 = 50 -10p = 50 Divide each side by '-10'. p = -5 Simplifying p = -5
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