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Simplifying 5p + -3q + 2 + -4p + 5 + 4q = 0 Reorder the terms: 2 + 5 + 5p + -4p + -3q + 4q = 0 Combine like terms: 2 + 5 = 7 7 + 5p + -4p + -3q + 4q = 0 Combine like terms: 5p + -4p = 1p 7 + 1p + -3q + 4q = 0 Combine like terms: -3q + 4q = 1q 7 + 1p + 1q = 0 Solving 7 + 1p + 1q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 1p + -7 + 1q = 0 + -7 Reorder the terms: 7 + -7 + 1p + 1q = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 1p + 1q = 0 + -7 1p + 1q = 0 + -7 Combine like terms: 0 + -7 = -7 1p + 1q = -7 Add '-1q' to each side of the equation. 1p + 1q + -1q = -7 + -1q Combine like terms: 1q + -1q = 0 1p + 0 = -7 + -1q 1p = -7 + -1q Divide each side by '1'. p = -7 + -1q Simplifying p = -7 + -1q
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