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Simplifying 3(a + 2b) + 7a + -8b = 0 (a * 3 + 2b * 3) + 7a + -8b = 0 (3a + 6b) + 7a + -8b = 0 Reorder the terms: 3a + 7a + 6b + -8b = 0 Combine like terms: 3a + 7a = 10a 10a + 6b + -8b = 0 Combine like terms: 6b + -8b = -2b 10a + -2b = 0 Solving 10a + -2b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2b' to each side of the equation. 10a + -2b + 2b = 0 + 2b Combine like terms: -2b + 2b = 0 10a + 0 = 0 + 2b 10a = 0 + 2b Remove the zero: 10a = 2b Divide each side by '10'. a = 0.2b Simplifying a = 0.2b
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