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Simplifying 4a + 6b + 2 = 2a + -4b Reorder the terms: 2 + 4a + 6b = 2a + -4b Solving 2 + 4a + 6b = 2a + -4b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 2 + 4a + -2a + 6b = 2a + -2a + -4b Combine like terms: 4a + -2a = 2a 2 + 2a + 6b = 2a + -2a + -4b Combine like terms: 2a + -2a = 0 2 + 2a + 6b = 0 + -4b 2 + 2a + 6b = -4b Add '-2' to each side of the equation. 2 + 2a + -2 + 6b = -2 + -4b Reorder the terms: 2 + -2 + 2a + 6b = -2 + -4b Combine like terms: 2 + -2 = 0 0 + 2a + 6b = -2 + -4b 2a + 6b = -2 + -4b Add '-6b' to each side of the equation. 2a + 6b + -6b = -2 + -4b + -6b Combine like terms: 6b + -6b = 0 2a + 0 = -2 + -4b + -6b 2a = -2 + -4b + -6b Combine like terms: -4b + -6b = -10b 2a = -2 + -10b Divide each side by '2'. a = -1 + -5b Simplifying a = -1 + -5b
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