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Simplifying 10a + -3b + -1(9b + -7a) = 0 Reorder the terms: 10a + -3b + -1(-7a + 9b) = 0 10a + -3b + (-7a * -1 + 9b * -1) = 0 10a + -3b + (7a + -9b) = 0 Reorder the terms: 10a + 7a + -3b + -9b = 0 Combine like terms: 10a + 7a = 17a 17a + -3b + -9b = 0 Combine like terms: -3b + -9b = -12b 17a + -12b = 0 Solving 17a + -12b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12b' to each side of the equation. 17a + -12b + 12b = 0 + 12b Combine like terms: -12b + 12b = 0 17a + 0 = 0 + 12b 17a = 0 + 12b Remove the zero: 17a = 12b Divide each side by '17'. a = 0.7058823529b Simplifying a = 0.7058823529b
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