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Simplifying -9(3p + -17) + 8p = 20 + -12p Reorder the terms: -9(-17 + 3p) + 8p = 20 + -12p (-17 * -9 + 3p * -9) + 8p = 20 + -12p (153 + -27p) + 8p = 20 + -12p Combine like terms: -27p + 8p = -19p 153 + -19p = 20 + -12p Solving 153 + -19p = 20 + -12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '12p' to each side of the equation. 153 + -19p + 12p = 20 + -12p + 12p Combine like terms: -19p + 12p = -7p 153 + -7p = 20 + -12p + 12p Combine like terms: -12p + 12p = 0 153 + -7p = 20 + 0 153 + -7p = 20 Add '-153' to each side of the equation. 153 + -153 + -7p = 20 + -153 Combine like terms: 153 + -153 = 0 0 + -7p = 20 + -153 -7p = 20 + -153 Combine like terms: 20 + -153 = -133 -7p = -133 Divide each side by '-7'. p = 19 Simplifying p = 19
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