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Simplifying 8.7 + 3.2(2p + -1q) + 2.55p = 0 8.7 + (2p * 3.2 + -1q * 3.2) + 2.55p = 0 8.7 + (6.4p + -3.2q) + 2.55p = 0 Reorder the terms: 8.7 + 6.4p + 2.55p + -3.2q = 0 Combine like terms: 6.4p + 2.55p = 8.95p 8.7 + 8.95p + -3.2q = 0 Solving 8.7 + 8.95p + -3.2q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8.7' to each side of the equation. 8.7 + 8.95p + -8.7 + -3.2q = 0 + -8.7 Reorder the terms: 8.7 + -8.7 + 8.95p + -3.2q = 0 + -8.7 Combine like terms: 8.7 + -8.7 = 0.0 0.0 + 8.95p + -3.2q = 0 + -8.7 8.95p + -3.2q = 0 + -8.7 Combine like terms: 0 + -8.7 = -8.7 8.95p + -3.2q = -8.7 Add '3.2q' to each side of the equation. 8.95p + -3.2q + 3.2q = -8.7 + 3.2q Combine like terms: -3.2q + 3.2q = 0.0 8.95p + 0.0 = -8.7 + 3.2q 8.95p = -8.7 + 3.2q Divide each side by '8.95'. p = -0.9720670391 + 0.3575418994q Simplifying p = -0.9720670391 + 0.3575418994q
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