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Simplifying 4a + 3b + -6 + (-7a) + 2b = 0 Reorder the terms: -6 + 4a + (-7a) + 3b + 2b = 0 Combine like terms: 4a + (-7a) = -3a -6 + -3a + 3b + 2b = 0 Combine like terms: 3b + 2b = 5b -6 + -3a + 5b = 0 Solving -6 + -3a + 5b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -3a + 6 + 5b = 0 + 6 Reorder the terms: -6 + 6 + -3a + 5b = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -3a + 5b = 0 + 6 -3a + 5b = 0 + 6 Combine like terms: 0 + 6 = 6 -3a + 5b = 6 Add '-5b' to each side of the equation. -3a + 5b + -5b = 6 + -5b Combine like terms: 5b + -5b = 0 -3a + 0 = 6 + -5b -3a = 6 + -5b Divide each side by '-3'. a = -2 + 1.666666667b Simplifying a = -2 + 1.666666667b
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