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Simplifying 3 * 6a + -1b + -6 * 7b + -2a = 0 Multiply 3 * 6 18a + -1b + -6 * 7b + -2a = 0 Multiply -6 * 7 18a + -1b + -42b + -2a = 0 Reorder the terms: 18a + -2a + -1b + -42b = 0 Combine like terms: 18a + -2a = 16a 16a + -1b + -42b = 0 Combine like terms: -1b + -42b = -43b 16a + -43b = 0 Solving 16a + -43b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '43b' to each side of the equation. 16a + -43b + 43b = 0 + 43b Combine like terms: -43b + 43b = 0 16a + 0 = 0 + 43b 16a = 0 + 43b Remove the zero: 16a = 43b Divide each side by '16'. a = 2.6875b Simplifying a = 2.6875b
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