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Simplifying 19Q + 5(1 + -1Q) = 20Q + -4(1 + -1Q) 19Q + (1 * 5 + -1Q * 5) = 20Q + -4(1 + -1Q) 19Q + (5 + -5Q) = 20Q + -4(1 + -1Q) Reorder the terms: 5 + 19Q + -5Q = 20Q + -4(1 + -1Q) Combine like terms: 19Q + -5Q = 14Q 5 + 14Q = 20Q + -4(1 + -1Q) 5 + 14Q = 20Q + (1 * -4 + -1Q * -4) 5 + 14Q = 20Q + (-4 + 4Q) Reorder the terms: 5 + 14Q = -4 + 20Q + 4Q Combine like terms: 20Q + 4Q = 24Q 5 + 14Q = -4 + 24Q Solving 5 + 14Q = -4 + 24Q Solving for variable 'Q'. Move all terms containing Q to the left, all other terms to the right. Add '-24Q' to each side of the equation. 5 + 14Q + -24Q = -4 + 24Q + -24Q Combine like terms: 14Q + -24Q = -10Q 5 + -10Q = -4 + 24Q + -24Q Combine like terms: 24Q + -24Q = 0 5 + -10Q = -4 + 0 5 + -10Q = -4 Add '-5' to each side of the equation. 5 + -5 + -10Q = -4 + -5 Combine like terms: 5 + -5 = 0 0 + -10Q = -4 + -5 -10Q = -4 + -5 Combine like terms: -4 + -5 = -9 -10Q = -9 Divide each side by '-10'. Q = 0.9 Simplifying Q = 0.9
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