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Simplifying -11p + -5(6 + -4p) = 4(p + -5) + -5 -11p + (6 * -5 + -4p * -5) = 4(p + -5) + -5 -11p + (-30 + 20p) = 4(p + -5) + -5 Reorder the terms: -30 + -11p + 20p = 4(p + -5) + -5 Combine like terms: -11p + 20p = 9p -30 + 9p = 4(p + -5) + -5 Reorder the terms: -30 + 9p = 4(-5 + p) + -5 -30 + 9p = (-5 * 4 + p * 4) + -5 -30 + 9p = (-20 + 4p) + -5 Reorder the terms: -30 + 9p = -20 + -5 + 4p Combine like terms: -20 + -5 = -25 -30 + 9p = -25 + 4p Solving -30 + 9p = -25 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -30 + 9p + -4p = -25 + 4p + -4p Combine like terms: 9p + -4p = 5p -30 + 5p = -25 + 4p + -4p Combine like terms: 4p + -4p = 0 -30 + 5p = -25 + 0 -30 + 5p = -25 Add '30' to each side of the equation. -30 + 30 + 5p = -25 + 30 Combine like terms: -30 + 30 = 0 0 + 5p = -25 + 30 5p = -25 + 30 Combine like terms: -25 + 30 = 5 5p = 5 Divide each side by '5'. p = 1 Simplifying p = 1
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