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Simplifying -12p + 5(-8p + -20) = 14 + -19p + 18 Reorder the terms: -12p + 5(-20 + -8p) = 14 + -19p + 18 -12p + (-20 * 5 + -8p * 5) = 14 + -19p + 18 -12p + (-100 + -40p) = 14 + -19p + 18 Reorder the terms: -100 + -12p + -40p = 14 + -19p + 18 Combine like terms: -12p + -40p = -52p -100 + -52p = 14 + -19p + 18 Reorder the terms: -100 + -52p = 14 + 18 + -19p Combine like terms: 14 + 18 = 32 -100 + -52p = 32 + -19p Solving -100 + -52p = 32 + -19p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '19p' to each side of the equation. -100 + -52p + 19p = 32 + -19p + 19p Combine like terms: -52p + 19p = -33p -100 + -33p = 32 + -19p + 19p Combine like terms: -19p + 19p = 0 -100 + -33p = 32 + 0 -100 + -33p = 32 Add '100' to each side of the equation. -100 + 100 + -33p = 32 + 100 Combine like terms: -100 + 100 = 0 0 + -33p = 32 + 100 -33p = 32 + 100 Combine like terms: 32 + 100 = 132 -33p = 132 Divide each side by '-33'. p = -4 Simplifying p = -4
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