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Simplifying 2a + 3b + 3(a + -2) + -2b + 4 = 0 Reorder the terms: 2a + 3b + 3(-2 + a) + -2b + 4 = 0 2a + 3b + (-2 * 3 + a * 3) + -2b + 4 = 0 2a + 3b + (-6 + 3a) + -2b + 4 = 0 Reorder the terms: -6 + 4 + 2a + 3a + 3b + -2b = 0 Combine like terms: -6 + 4 = -2 -2 + 2a + 3a + 3b + -2b = 0 Combine like terms: 2a + 3a = 5a -2 + 5a + 3b + -2b = 0 Combine like terms: 3b + -2b = 1b -2 + 5a + 1b = 0 Solving -2 + 5a + 1b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 5a + 2 + 1b = 0 + 2 Reorder the terms: -2 + 2 + 5a + 1b = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5a + 1b = 0 + 2 5a + 1b = 0 + 2 Combine like terms: 0 + 2 = 2 5a + 1b = 2 Add '-1b' to each side of the equation. 5a + 1b + -1b = 2 + -1b Combine like terms: 1b + -1b = 0 5a + 0 = 2 + -1b 5a = 2 + -1b Divide each side by '5'. a = 0.4 + -0.2b Simplifying a = 0.4 + -0.2b
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