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Simplifying 12v + 3b + 9u + -3(3v + 4u) = 0 Reorder the terms: 12v + 3b + 9u + -3(4u + 3v) = 0 12v + 3b + 9u + (4u * -3 + 3v * -3) = 0 12v + 3b + 9u + (-12u + -9v) = 0 Reorder the terms: 3b + 9u + -12u + 12v + -9v = 0 Combine like terms: 9u + -12u = -3u 3b + -3u + 12v + -9v = 0 Combine like terms: 12v + -9v = 3v 3b + -3u + 3v = 0 Solving 3b + -3u + 3v = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3u' to each side of the equation. 3b + -3u + 3u + 3v = 0 + 3u Combine like terms: -3u + 3u = 0 3b + 0 + 3v = 0 + 3u 3b + 3v = 0 + 3u Remove the zero: 3b + 3v = 3u Add '-3v' to each side of the equation. 3b + 3v + -3v = 3u + -3v Combine like terms: 3v + -3v = 0 3b + 0 = 3u + -3v 3b = 3u + -3v Divide each side by '3'. b = u + -1v Simplifying b = u + -1v
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