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Simplifying 3(p + -2q) + -4(2p + -3q + -5) = 0 (p * 3 + -2q * 3) + -4(2p + -3q + -5) = 0 (3p + -6q) + -4(2p + -3q + -5) = 0 Reorder the terms: 3p + -6q + -4(-5 + 2p + -3q) = 0 3p + -6q + (-5 * -4 + 2p * -4 + -3q * -4) = 0 3p + -6q + (20 + -8p + 12q) = 0 Reorder the terms: 20 + 3p + -8p + -6q + 12q = 0 Combine like terms: 3p + -8p = -5p 20 + -5p + -6q + 12q = 0 Combine like terms: -6q + 12q = 6q 20 + -5p + 6q = 0 Solving 20 + -5p + 6q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -5p + -20 + 6q = 0 + -20 Reorder the terms: 20 + -20 + -5p + 6q = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -5p + 6q = 0 + -20 -5p + 6q = 0 + -20 Combine like terms: 0 + -20 = -20 -5p + 6q = -20 Add '-6q' to each side of the equation. -5p + 6q + -6q = -20 + -6q Combine like terms: 6q + -6q = 0 -5p + 0 = -20 + -6q -5p = -20 + -6q Divide each side by '-5'. p = 4 + 1.2q Simplifying p = 4 + 1.2q
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