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Simplifying -19p + -5(5 + -6p) = 6(p + -6) + -44 -19p + (5 * -5 + -6p * -5) = 6(p + -6) + -44 -19p + (-25 + 30p) = 6(p + -6) + -44 Reorder the terms: -25 + -19p + 30p = 6(p + -6) + -44 Combine like terms: -19p + 30p = 11p -25 + 11p = 6(p + -6) + -44 Reorder the terms: -25 + 11p = 6(-6 + p) + -44 -25 + 11p = (-6 * 6 + p * 6) + -44 -25 + 11p = (-36 + 6p) + -44 Reorder the terms: -25 + 11p = -36 + -44 + 6p Combine like terms: -36 + -44 = -80 -25 + 11p = -80 + 6p Solving -25 + 11p = -80 + 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 = -80 + 6p + -6p Combine like terms: 11p + -6p = 5p -25 + 5p = -80 + 6p + -6p Combine like terms: 6p + -6p = 0 -25 + 5p = -80 + 0 -25 + 5p = -80 Add '25' to each side of the equation. -25 + 25 + 5p = -80 + 25 Combine like terms: -25 + 25 = 0 0 + 5p = -80 + 25 5p = -80 + 25 Combine like terms: -80 + 25 = -55 5p = -55 Divide each side by '5'. p = -11 Simplifying p = -11
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