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Simplifying 17p + 10 + 52q + 13p + 2q = 0 Reorder the terms: 10 + 17p + 13p + 52q + 2q = 0 Combine like terms: 17p + 13p = 30p 10 + 30p + 52q + 2q = 0 Combine like terms: 52q + 2q = 54q 10 + 30p + 54q = 0 Solving 10 + 30p + 54q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 30p + -10 + 54q = 0 + -10 Reorder the terms: 10 + -10 + 30p + 54q = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 30p + 54q = 0 + -10 30p + 54q = 0 + -10 Combine like terms: 0 + -10 = -10 30p + 54q = -10 Add '-54q' to each side of the equation. 30p + 54q + -54q = -10 + -54q Combine like terms: 54q + -54q = 0 30p + 0 = -10 + -54q 30p = -10 + -54q Divide each side by '30'. p = -0.3333333333 + -1.8q Simplifying p = -0.3333333333 + -1.8q
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