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Simplifying 4a + 3b + -2 = -7a + b + 3 Reorder the terms: -2 + 4a + 3b = -7a + b + 3 Reorder the terms: -2 + 4a + 3b = 3 + -7a + b Solving -2 + 4a + 3b = 3 + -7a + b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. -2 + 4a + 7a + 3b = 3 + -7a + 7a + b Combine like terms: 4a + 7a = 11a -2 + 11a + 3b = 3 + -7a + 7a + b Combine like terms: -7a + 7a = 0 -2 + 11a + 3b = 3 + 0 + b -2 + 11a + 3b = 3 + b Add '2' to each side of the equation. -2 + 11a + 2 + 3b = 3 + 2 + b Reorder the terms: -2 + 2 + 11a + 3b = 3 + 2 + b Combine like terms: -2 + 2 = 0 0 + 11a + 3b = 3 + 2 + b 11a + 3b = 3 + 2 + b Combine like terms: 3 + 2 = 5 11a + 3b = 5 + b Add '-3b' to each side of the equation. 11a + 3b + -3b = 5 + b + -3b Combine like terms: 3b + -3b = 0 11a + 0 = 5 + b + -3b 11a = 5 + b + -3b Combine like terms: b + -3b = -2b 11a = 5 + -2b Divide each side by '11'. a = 0.4545454545 + -0.1818181818b Simplifying a = 0.4545454545 + -0.1818181818b
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