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Simplifying -27 + 3p = -8(5p + -2) Reorder the terms: -27 + 3p = -8(-2 + 5p) -27 + 3p = (-2 * -8 + 5p * -8) -27 + 3p = (16 + -40p) Solving -27 + 3p = 16 + -40p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '40p' to each side of the equation. -27 + 3p + 40p = 16 + -40p + 40p Combine like terms: 3p + 40p = 43p -27 + 43p = 16 + -40p + 40p Combine like terms: -40p + 40p = 0 -27 + 43p = 16 + 0 -27 + 43p = 16 Add '27' to each side of the equation. -27 + 27 + 43p = 16 + 27 Combine like terms: -27 + 27 = 0 0 + 43p = 16 + 27 43p = 16 + 27 Combine like terms: 16 + 27 = 43 43p = 43 Divide each side by '43'. p = 1 Simplifying p = 1
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