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Simplifying 2(6q + 8) + 5(5q + -8) = 14 Reorder the terms: 2(8 + 6q) + 5(5q + -8) = 14 (8 * 2 + 6q * 2) + 5(5q + -8) = 14 (16 + 12q) + 5(5q + -8) = 14 Reorder the terms: 16 + 12q + 5(-8 + 5q) = 14 16 + 12q + (-8 * 5 + 5q * 5) = 14 16 + 12q + (-40 + 25q) = 14 Reorder the terms: 16 + -40 + 12q + 25q = 14 Combine like terms: 16 + -40 = -24 -24 + 12q + 25q = 14 Combine like terms: 12q + 25q = 37q -24 + 37q = 14 Solving -24 + 37q = 14 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 37q = 14 + 24 Combine like terms: -24 + 24 = 0 0 + 37q = 14 + 24 37q = 14 + 24 Combine like terms: 14 + 24 = 38 37q = 38 Divide each side by '37'. q = 1.027027027 Simplifying q = 1.027027027
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