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Simplifying (4b + 6a) + -1(3b + -7) = 0 Reorder the terms: (6a + 4b) + -1(3b + -7) = 0 Remove parenthesis around (6a + 4b) 6a + 4b + -1(3b + -7) = 0 Reorder the terms: 6a + 4b + -1(-7 + 3b) = 0 6a + 4b + (-7 * -1 + 3b * -1) = 0 6a + 4b + (7 + -3b) = 0 Reorder the terms: 7 + 6a + 4b + -3b = 0 Combine like terms: 4b + -3b = 1b 7 + 6a + 1b = 0 Solving 7 + 6a + 1b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 6a + -7 + 1b = 0 + -7 Reorder the terms: 7 + -7 + 6a + 1b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6a + 1b = 0 + -7 6a + 1b = 0 + -7 Combine like terms: 0 + -7 = -7 6a + 1b = -7 Add '-1b' to each side of the equation. 6a + 1b + -1b = -7 + -1b Combine like terms: 1b + -1b = 0 6a + 0 = -7 + -1b 6a = -7 + -1b Divide each side by '6'. a = -1.166666667 + -0.1666666667b Simplifying a = -1.166666667 + -0.1666666667b
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