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Simplifying 4(3a + -5b + 2) + -3(2a + 2) = 0 Reorder the terms: 4(2 + 3a + -5b) + -3(2a + 2) = 0 (2 * 4 + 3a * 4 + -5b * 4) + -3(2a + 2) = 0 (8 + 12a + -20b) + -3(2a + 2) = 0 Reorder the terms: 8 + 12a + -20b + -3(2 + 2a) = 0 8 + 12a + -20b + (2 * -3 + 2a * -3) = 0 8 + 12a + -20b + (-6 + -6a) = 0 Reorder the terms: 8 + -6 + 12a + -6a + -20b = 0 Combine like terms: 8 + -6 = 2 2 + 12a + -6a + -20b = 0 Combine like terms: 12a + -6a = 6a 2 + 6a + -20b = 0 Solving 2 + 6a + -20b = 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 + 6a + -2 + -20b = 0 + -2 Reorder the terms: 2 + -2 + 6a + -20b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 6a + -20b = 0 + -2 6a + -20b = 0 + -2 Combine like terms: 0 + -2 = -2 6a + -20b = -2 Add '20b' to each side of the equation. 6a + -20b + 20b = -2 + 20b Combine like terms: -20b + 20b = 0 6a + 0 = -2 + 20b 6a = -2 + 20b Divide each side by '6'. a = -0.3333333333 + 3.333333333b Simplifying a = -0.3333333333 + 3.333333333b
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