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Simplifying 2 + 5(2a + 4b) + -3a = 0 2 + (2a * 5 + 4b * 5) + -3a = 0 2 + (10a + 20b) + -3a = 0 Reorder the terms: 2 + 10a + -3a + 20b = 0 Combine like terms: 10a + -3a = 7a 2 + 7a + 20b = 0 Solving 2 + 7a + 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 + 7a + -2 + 20b = 0 + -2 Reorder the terms: 2 + -2 + 7a + 20b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7a + 20b = 0 + -2 7a + 20b = 0 + -2 Combine like terms: 0 + -2 = -2 7a + 20b = -2 Add '-20b' to each side of the equation. 7a + 20b + -20b = -2 + -20b Combine like terms: 20b + -20b = 0 7a + 0 = -2 + -20b 7a = -2 + -20b Divide each side by '7'. a = -0.2857142857 + -2.857142857b Simplifying a = -0.2857142857 + -2.857142857b
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