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Simplifying 3p + -5 = -8(6 + 5p) Reorder the terms: -5 + 3p = -8(6 + 5p) -5 + 3p = (6 * -8 + 5p * -8) -5 + 3p = (-48 + -40p) Solving -5 + 3p = -48 + -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. -5 + 3p + 40p = -48 + -40p + 40p Combine like terms: 3p + 40p = 43p -5 + 43p = -48 + -40p + 40p Combine like terms: -40p + 40p = 0 -5 + 43p = -48 + 0 -5 + 43p = -48 Add '5' to each side of the equation. -5 + 5 + 43p = -48 + 5 Combine like terms: -5 + 5 = 0 0 + 43p = -48 + 5 43p = -48 + 5 Combine like terms: -48 + 5 = -43 43p = -43 Divide each side by '43'. p = -1 Simplifying p = -1
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