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Simplifying p + -31 = -3(1 + -5p) Reorder the terms: -31 + p = -3(1 + -5p) -31 + p = (1 * -3 + -5p * -3) -31 + p = (-3 + 15p) Solving -31 + p = -3 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. -31 + p + -15p = -3 + 15p + -15p Combine like terms: p + -15p = -14p -31 + -14p = -3 + 15p + -15p Combine like terms: 15p + -15p = 0 -31 + -14p = -3 + 0 -31 + -14p = -3 Add '31' to each side of the equation. -31 + 31 + -14p = -3 + 31 Combine like terms: -31 + 31 = 0 0 + -14p = -3 + 31 -14p = -3 + 31 Combine like terms: -3 + 31 = 28 -14p = 28 Divide each side by '-14'. p = -2 Simplifying p = -2
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