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Simplifying -5(8p + 6) = 5 + -5p Reorder the terms: -5(6 + 8p) = 5 + -5p (6 * -5 + 8p * -5) = 5 + -5p (-30 + -40p) = 5 + -5p Solving -30 + -40p = 5 + -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. -30 + -40p + 5p = 5 + -5p + 5p Combine like terms: -40p + 5p = -35p -30 + -35p = 5 + -5p + 5p Combine like terms: -5p + 5p = 0 -30 + -35p = 5 + 0 -30 + -35p = 5 Add '30' to each side of the equation. -30 + 30 + -35p = 5 + 30 Combine like terms: -30 + 30 = 0 0 + -35p = 5 + 30 -35p = 5 + 30 Combine like terms: 5 + 30 = 35 -35p = 35 Divide each side by '-35'. p = -1 Simplifying p = -1
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