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Simplifying 6p + -3q + 7p + 8q + 5 = 0 Reorder the terms: 5 + 6p + 7p + -3q + 8q = 0 Combine like terms: 6p + 7p = 13p 5 + 13p + -3q + 8q = 0 Combine like terms: -3q + 8q = 5q 5 + 13p + 5q = 0 Solving 5 + 13p + 5q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 13p + -5 + 5q = 0 + -5 Reorder the terms: 5 + -5 + 13p + 5q = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 13p + 5q = 0 + -5 13p + 5q = 0 + -5 Combine like terms: 0 + -5 = -5 13p + 5q = -5 Add '-5q' to each side of the equation. 13p + 5q + -5q = -5 + -5q Combine like terms: 5q + -5q = 0 13p + 0 = -5 + -5q 13p = -5 + -5q Divide each side by '13'. p = -0.3846153846 + -0.3846153846q Simplifying p = -0.3846153846 + -0.3846153846q
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