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Simplifying 10a + 5b + 7a + 1 = 0 Reorder the terms: 1 + 10a + 7a + 5b = 0 Combine like terms: 10a + 7a = 17a 1 + 17a + 5b = 0 Solving 1 + 17a + 5b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 17a + -1 + 5b = 0 + -1 Reorder the terms: 1 + -1 + 17a + 5b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 17a + 5b = 0 + -1 17a + 5b = 0 + -1 Combine like terms: 0 + -1 = -1 17a + 5b = -1 Add '-5b' to each side of the equation. 17a + 5b + -5b = -1 + -5b Combine like terms: 5b + -5b = 0 17a + 0 = -1 + -5b 17a = -1 + -5b Divide each side by '17'. a = -0.05882352941 + -0.2941176471b Simplifying a = -0.05882352941 + -0.2941176471b
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