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Simplifying (p + -2q) * 2 + -10(p + -2q) + 24 = 0 Reorder the terms for easier multiplication: 2(p + -2q) + -10(p + -2q) + 24 = 0 (p * 2 + -2q * 2) + -10(p + -2q) + 24 = 0 (2p + -4q) + -10(p + -2q) + 24 = 0 2p + -4q + (p * -10 + -2q * -10) + 24 = 0 2p + -4q + (-10p + 20q) + 24 = 0 Reorder the terms: 24 + 2p + -10p + -4q + 20q = 0 Combine like terms: 2p + -10p = -8p 24 + -8p + -4q + 20q = 0 Combine like terms: -4q + 20q = 16q 24 + -8p + 16q = 0 Solving 24 + -8p + 16q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -8p + -24 + 16q = 0 + -24 Reorder the terms: 24 + -24 + -8p + 16q = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -8p + 16q = 0 + -24 -8p + 16q = 0 + -24 Combine like terms: 0 + -24 = -24 -8p + 16q = -24 Add '-16q' to each side of the equation. -8p + 16q + -16q = -24 + -16q Combine like terms: 16q + -16q = 0 -8p + 0 = -24 + -16q -8p = -24 + -16q Divide each side by '-8'. p = 3 + 2q Simplifying p = 3 + 2q
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