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Simplifying 7(4a + -1b) + -6(4b + -2a) = 0 (4a * 7 + -1b * 7) + -6(4b + -2a) = 0 (28a + -7b) + -6(4b + -2a) = 0 Reorder the terms: 28a + -7b + -6(-2a + 4b) = 0 28a + -7b + (-2a * -6 + 4b * -6) = 0 28a + -7b + (12a + -24b) = 0 Reorder the terms: 28a + 12a + -7b + -24b = 0 Combine like terms: 28a + 12a = 40a 40a + -7b + -24b = 0 Combine like terms: -7b + -24b = -31b 40a + -31b = 0 Solving 40a + -31b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '31b' to each side of the equation. 40a + -31b + 31b = 0 + 31b Combine like terms: -31b + 31b = 0 40a + 0 = 0 + 31b 40a = 0 + 31b Remove the zero: 40a = 31b Divide each side by '40'. a = 0.775b Simplifying a = 0.775b
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