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Simplifying 7(6a + 3u + -4b) = 0 Reorder the terms: 7(6a + -4b + 3u) = 0 (6a * 7 + -4b * 7 + 3u * 7) = 0 (42a + -28b + 21u) = 0 Solving 42a + -28b + 21u = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '28b' to each side of the equation. 42a + -28b + 28b + 21u = 0 + 28b Combine like terms: -28b + 28b = 0 42a + 0 + 21u = 0 + 28b 42a + 21u = 0 + 28b Remove the zero: 42a + 21u = 28b Add '-21u' to each side of the equation. 42a + 21u + -21u = 28b + -21u Combine like terms: 21u + -21u = 0 42a + 0 = 28b + -21u 42a = 28b + -21u Divide each side by '42'. a = 0.6666666667b + -0.5u Simplifying a = 0.6666666667b + -0.5u
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