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Simplifying -43p + 8 + -3p + -12 = 20 + 4p + 4p Reorder the terms: 8 + -12 + -43p + -3p = 20 + 4p + 4p Combine like terms: 8 + -12 = -4 -4 + -43p + -3p = 20 + 4p + 4p Combine like terms: -43p + -3p = -46p -4 + -46p = 20 + 4p + 4p Combine like terms: 4p + 4p = 8p -4 + -46p = 20 + 8p Solving -4 + -46p = 20 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -4 + -46p + -8p = 20 + 8p + -8p Combine like terms: -46p + -8p = -54p -4 + -54p = 20 + 8p + -8p Combine like terms: 8p + -8p = 0 -4 + -54p = 20 + 0 -4 + -54p = 20 Add '4' to each side of the equation. -4 + 4 + -54p = 20 + 4 Combine like terms: -4 + 4 = 0 0 + -54p = 20 + 4 -54p = 20 + 4 Combine like terms: 20 + 4 = 24 -54p = 24 Divide each side by '-54'. p = -0.4444444444 Simplifying p = -0.4444444444
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