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Simplifying -5p + -35 = 5(-6p + 8) Reorder the terms: -35 + -5p = 5(-6p + 8) Reorder the terms: -35 + -5p = 5(8 + -6p) -35 + -5p = (8 * 5 + -6p * 5) -35 + -5p = (40 + -30p) Solving -35 + -5p = 40 + -30p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '30p' to each side of the equation. -35 + -5p + 30p = 40 + -30p + 30p Combine like terms: -5p + 30p = 25p -35 + 25p = 40 + -30p + 30p Combine like terms: -30p + 30p = 0 -35 + 25p = 40 + 0 -35 + 25p = 40 Add '35' to each side of the equation. -35 + 35 + 25p = 40 + 35 Combine like terms: -35 + 35 = 0 0 + 25p = 40 + 35 25p = 40 + 35 Combine like terms: 40 + 35 = 75 25p = 75 Divide each side by '25'. p = 3 Simplifying p = 3
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