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Simplifying (p + 6q) * 2 + -10(p + 6q) + 25 = 0 Reorder the terms for easier multiplication: 2(p + 6q) + -10(p + 6q) + 25 = 0 (p * 2 + 6q * 2) + -10(p + 6q) + 25 = 0 (2p + 12q) + -10(p + 6q) + 25 = 0 2p + 12q + (p * -10 + 6q * -10) + 25 = 0 2p + 12q + (-10p + -60q) + 25 = 0 Reorder the terms: 25 + 2p + -10p + 12q + -60q = 0 Combine like terms: 2p + -10p = -8p 25 + -8p + 12q + -60q = 0 Combine like terms: 12q + -60q = -48q 25 + -8p + -48q = 0 Solving 25 + -8p + -48q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -8p + -25 + -48q = 0 + -25 Reorder the terms: 25 + -25 + -8p + -48q = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -8p + -48q = 0 + -25 -8p + -48q = 0 + -25 Combine like terms: 0 + -25 = -25 -8p + -48q = -25 Add '48q' to each side of the equation. -8p + -48q + 48q = -25 + 48q Combine like terms: -48q + 48q = 0 -8p + 0 = -25 + 48q -8p = -25 + 48q Divide each side by '-8'. p = 3.125 + -6q Simplifying p = 3.125 + -6q
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