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Simplifying -4p + -5(5 + -3p) = 6(p + -4) + -31 -4p + (5 * -5 + -3p * -5) = 6(p + -4) + -31 -4p + (-25 + 15p) = 6(p + -4) + -31 Reorder the terms: -25 + -4p + 15p = 6(p + -4) + -31 Combine like terms: -4p + 15p = 11p -25 + 11p = 6(p + -4) + -31 Reorder the terms: -25 + 11p = 6(-4 + p) + -31 -25 + 11p = (-4 * 6 + p * 6) + -31 -25 + 11p = (-24 + 6p) + -31 Reorder the terms: -25 + 11p = -24 + -31 + 6p Combine like terms: -24 + -31 = -55 -25 + 11p = -55 + 6p Solving -25 + 11p = -55 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -25 + 11p + -6p = -55 + 6p + -6p Combine like terms: 11p + -6p = 5p -25 + 5p = -55 + 6p + -6p Combine like terms: 6p + -6p = 0 -25 + 5p = -55 + 0 -25 + 5p = -55 Add '25' to each side of the equation. -25 + 25 + 5p = -55 + 25 Combine like terms: -25 + 25 = 0 0 + 5p = -55 + 25 5p = -55 + 25 Combine like terms: -55 + 25 = -30 5p = -30 Divide each side by '5'. p = -6 Simplifying p = -6
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