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Simplifying 43 + -12p = 5(-9p + 2) Reorder the terms: 43 + -12p = 5(2 + -9p) 43 + -12p = (2 * 5 + -9p * 5) 43 + -12p = (10 + -45p) Solving 43 + -12p = 10 + -45p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '45p' to each side of the equation. 43 + -12p + 45p = 10 + -45p + 45p Combine like terms: -12p + 45p = 33p 43 + 33p = 10 + -45p + 45p Combine like terms: -45p + 45p = 0 43 + 33p = 10 + 0 43 + 33p = 10 Add '-43' to each side of the equation. 43 + -43 + 33p = 10 + -43 Combine like terms: 43 + -43 = 0 0 + 33p = 10 + -43 33p = 10 + -43 Combine like terms: 10 + -43 = -33 33p = -33 Divide each side by '33'. p = -1 Simplifying p = -1
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