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Simplifying 10a + -1(3a + b) + 8a + 2b = 0 10a + (3a * -1 + b * -1) + 8a + 2b = 0 10a + (-3a + -1b) + 8a + 2b = 0 Reorder the terms: 10a + -3a + 8a + -1b + 2b = 0 Combine like terms: 10a + -3a = 7a 7a + 8a + -1b + 2b = 0 Combine like terms: 7a + 8a = 15a 15a + -1b + 2b = 0 Combine like terms: -1b + 2b = 1b 15a + 1b = 0 Solving 15a + 1b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 15a + 1b + -1b = 0 + -1b Combine like terms: 1b + -1b = 0 15a + 0 = 0 + -1b 15a = 0 + -1b Remove the zero: 15a = -1b Divide each side by '15'. a = -0.06666666667b Simplifying a = -0.06666666667b
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