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Simplifying (8q + -2t) + (8q + 4t) = 0 Remove parenthesis around (8q + -2t) 8q + -2t + (8q + 4t) = 0 Remove parenthesis around (8q + 4t) 8q + -2t + 8q + 4t = 0 Reorder the terms: 8q + 8q + -2t + 4t = 0 Combine like terms: 8q + 8q = 16q 16q + -2t + 4t = 0 Combine like terms: -2t + 4t = 2t 16q + 2t = 0 Solving 16q + 2t = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2t' to each side of the equation. 16q + 2t + -2t = 0 + -2t Combine like terms: 2t + -2t = 0 16q + 0 = 0 + -2t 16q = 0 + -2t Remove the zero: 16q = -2t Divide each side by '16'. q = -0.125t Simplifying q = -0.125t
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