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Simplifying -2(v + 1) + -3u = 2(u + -6) Reorder the terms: -2(1 + v) + -3u = 2(u + -6) (1 * -2 + v * -2) + -3u = 2(u + -6) (-2 + -2v) + -3u = 2(u + -6) Reorder the terms: -2 + -3u + -2v = 2(u + -6) Reorder the terms: -2 + -3u + -2v = 2(-6 + u) -2 + -3u + -2v = (-6 * 2 + u * 2) -2 + -3u + -2v = (-12 + 2u) Solving -2 + -3u + -2v = -12 + 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. -2 + -3u + -2u + -2v = -12 + 2u + -2u Combine like terms: -3u + -2u = -5u -2 + -5u + -2v = -12 + 2u + -2u Combine like terms: 2u + -2u = 0 -2 + -5u + -2v = -12 + 0 -2 + -5u + -2v = -12 Add '2' to each side of the equation. -2 + -5u + 2 + -2v = -12 + 2 Reorder the terms: -2 + 2 + -5u + -2v = -12 + 2 Combine like terms: -2 + 2 = 0 0 + -5u + -2v = -12 + 2 -5u + -2v = -12 + 2 Combine like terms: -12 + 2 = -10 -5u + -2v = -10 Add '2v' to each side of the equation. -5u + -2v + 2v = -10 + 2v Combine like terms: -2v + 2v = 0 -5u + 0 = -10 + 2v -5u = -10 + 2v Divide each side by '-5'. u = 2 + -0.4v Simplifying u = 2 + -0.4v
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