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Simplifying 0 = 7(5a + -1b) + -6(6b + -2a) 0 = (5a * 7 + -1b * 7) + -6(6b + -2a) 0 = (35a + -7b) + -6(6b + -2a) Reorder the terms: 0 = 35a + -7b + -6(-2a + 6b) 0 = 35a + -7b + (-2a * -6 + 6b * -6) 0 = 35a + -7b + (12a + -36b) Reorder the terms: 0 = 35a + 12a + -7b + -36b Combine like terms: 35a + 12a = 47a 0 = 47a + -7b + -36b Combine like terms: -7b + -36b = -43b 0 = 47a + -43b Solving 0 = 47a + -43b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-47a' to each side of the equation. 0 + -47a = 47a + -47a + -43b Remove the zero: -47a = 47a + -47a + -43b Combine like terms: 47a + -47a = 0 -47a = 0 + -43b -47a = -43b Divide each side by '-47'. a = 0.914893617b Simplifying a = 0.914893617b
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