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Simplifying 7(2a + -1b) + -6(2b + -7a) = 0 (2a * 7 + -1b * 7) + -6(2b + -7a) = 0 (14a + -7b) + -6(2b + -7a) = 0 Reorder the terms: 14a + -7b + -6(-7a + 2b) = 0 14a + -7b + (-7a * -6 + 2b * -6) = 0 14a + -7b + (42a + -12b) = 0 Reorder the terms: 14a + 42a + -7b + -12b = 0 Combine like terms: 14a + 42a = 56a 56a + -7b + -12b = 0 Combine like terms: -7b + -12b = -19b 56a + -19b = 0 Solving 56a + -19b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '19b' to each side of the equation. 56a + -19b + 19b = 0 + 19b Combine like terms: -19b + 19b = 0 56a + 0 = 0 + 19b 56a = 0 + 19b Remove the zero: 56a = 19b Divide each side by '56'. a = 0.3392857143b Simplifying a = 0.3392857143b
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