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Simplifying 5(-1 + -3p) = -5p + -35 (-1 * 5 + -3p * 5) = -5p + -35 (-5 + -15p) = -5p + -35 Reorder the terms: -5 + -15p = -35 + -5p Solving -5 + -15p = -35 + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. -5 + -15p + 5p = -35 + -5p + 5p Combine like terms: -15p + 5p = -10p -5 + -10p = -35 + -5p + 5p Combine like terms: -5p + 5p = 0 -5 + -10p = -35 + 0 -5 + -10p = -35 Add '5' to each side of the equation. -5 + 5 + -10p = -35 + 5 Combine like terms: -5 + 5 = 0 0 + -10p = -35 + 5 -10p = -35 + 5 Combine like terms: -35 + 5 = -30 -10p = -30 Divide each side by '-10'. p = 3 Simplifying p = 3
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