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Simplifying 4p + -2q + 5 + -12p + -3 = 0 Reorder the terms: 5 + -3 + 4p + -12p + -2q = 0 Combine like terms: 5 + -3 = 2 2 + 4p + -12p + -2q = 0 Combine like terms: 4p + -12p = -8p 2 + -8p + -2q = 0 Solving 2 + -8p + -2q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -8p + -2 + -2q = 0 + -2 Reorder the terms: 2 + -2 + -8p + -2q = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -8p + -2q = 0 + -2 -8p + -2q = 0 + -2 Combine like terms: 0 + -2 = -2 -8p + -2q = -2 Add '2q' to each side of the equation. -8p + -2q + 2q = -2 + 2q Combine like terms: -2q + 2q = 0 -8p + 0 = -2 + 2q -8p = -2 + 2q Divide each side by '-8'. p = 0.25 + -0.25q Simplifying p = 0.25 + -0.25q
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