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Simplifying -86 = -6 + -5(p + 8) Reorder the terms: -86 = -6 + -5(8 + p) -86 = -6 + (8 * -5 + p * -5) -86 = -6 + (-40 + -5p) Combine like terms: -6 + -40 = -46 -86 = -46 + -5p Solving -86 = -46 + -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. -86 + 5p = -46 + -5p + 5p Combine like terms: -5p + 5p = 0 -86 + 5p = -46 + 0 -86 + 5p = -46 Add '86' to each side of the equation. -86 + 86 + 5p = -46 + 86 Combine like terms: -86 + 86 = 0 0 + 5p = -46 + 86 5p = -46 + 86 Combine like terms: -46 + 86 = 40 5p = 40 Divide each side by '5'. p = 8 Simplifying p = 8
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