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Simplifying -27p + -6(2 + -6p) = 4(p + -5) + -17 -27p + (2 * -6 + -6p * -6) = 4(p + -5) + -17 -27p + (-12 + 36p) = 4(p + -5) + -17 Reorder the terms: -12 + -27p + 36p = 4(p + -5) + -17 Combine like terms: -27p + 36p = 9p -12 + 9p = 4(p + -5) + -17 Reorder the terms: -12 + 9p = 4(-5 + p) + -17 -12 + 9p = (-5 * 4 + p * 4) + -17 -12 + 9p = (-20 + 4p) + -17 Reorder the terms: -12 + 9p = -20 + -17 + 4p Combine like terms: -20 + -17 = -37 -12 + 9p = -37 + 4p Solving -12 + 9p = -37 + 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. -12 + 9p + -4p = -37 + 4p + -4p Combine like terms: 9p + -4p = 5p -12 + 5p = -37 + 4p + -4p Combine like terms: 4p + -4p = 0 -12 + 5p = -37 + 0 -12 + 5p = -37 Add '12' to each side of the equation. -12 + 12 + 5p = -37 + 12 Combine like terms: -12 + 12 = 0 0 + 5p = -37 + 12 5p = -37 + 12 Combine like terms: -37 + 12 = -25 5p = -25 Divide each side by '5'. p = -5 Simplifying p = -5
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