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Simplifying 3a + 2b + -5a + -6b + 18a + 2b = 0 Reorder the terms: 3a + -5a + 18a + 2b + -6b + 2b = 0 Combine like terms: 3a + -5a = -2a -2a + 18a + 2b + -6b + 2b = 0 Combine like terms: -2a + 18a = 16a 16a + 2b + -6b + 2b = 0 Combine like terms: 2b + -6b = -4b 16a + -4b + 2b = 0 Combine like terms: -4b + 2b = -2b 16a + -2b = 0 Solving 16a + -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. 16a + -2b + 2b = 0 + 2b Combine like terms: -2b + 2b = 0 16a + 0 = 0 + 2b 16a = 0 + 2b Remove the zero: 16a = 2b Divide each side by '16'. a = 0.125b Simplifying a = 0.125b
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