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Simplifying 2a + 6b = 8a + -12b Solving 2a + 6b = 8a + -12b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 2a + -8a + 6b = 8a + -8a + -12b Combine like terms: 2a + -8a = -6a -6a + 6b = 8a + -8a + -12b Combine like terms: 8a + -8a = 0 -6a + 6b = 0 + -12b -6a + 6b = -12b Add '-6b' to each side of the equation. -6a + 6b + -6b = -12b + -6b Combine like terms: 6b + -6b = 0 -6a + 0 = -12b + -6b -6a = -12b + -6b Combine like terms: -12b + -6b = -18b -6a = -18b Divide each side by '-6'. a = 3b Simplifying a = 3b
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