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Simplifying (18u + -27q) + -1(13q + 22u) = 0 Reorder the terms: (-27q + 18u) + -1(13q + 22u) = 0 Remove parenthesis around (-27q + 18u) -27q + 18u + -1(13q + 22u) = 0 -27q + 18u + (13q * -1 + 22u * -1) = 0 -27q + 18u + (-13q + -22u) = 0 Reorder the terms: -27q + -13q + 18u + -22u = 0 Combine like terms: -27q + -13q = -40q -40q + 18u + -22u = 0 Combine like terms: 18u + -22u = -4u -40q + -4u = 0 Solving -40q + -4u = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4u' to each side of the equation. -40q + -4u + 4u = 0 + 4u Combine like terms: -4u + 4u = 0 -40q + 0 = 0 + 4u -40q = 0 + 4u Remove the zero: -40q = 4u Divide each side by '-40'. q = -0.1u Simplifying q = -0.1u
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