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Simplifying 5(a + 4) + 2(a + b) = 0 Reorder the terms: 5(4 + a) + 2(a + b) = 0 (4 * 5 + a * 5) + 2(a + b) = 0 (20 + 5a) + 2(a + b) = 0 20 + 5a + (a * 2 + b * 2) = 0 20 + 5a + (2a + 2b) = 0 Combine like terms: 5a + 2a = 7a 20 + 7a + 2b = 0 Solving 20 + 7a + 2b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + 7a + -20 + 2b = 0 + -20 Reorder the terms: 20 + -20 + 7a + 2b = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 7a + 2b = 0 + -20 7a + 2b = 0 + -20 Combine like terms: 0 + -20 = -20 7a + 2b = -20 Add '-2b' to each side of the equation. 7a + 2b + -2b = -20 + -2b Combine like terms: 2b + -2b = 0 7a + 0 = -20 + -2b 7a = -20 + -2b Divide each side by '7'. a = -2.857142857 + -0.2857142857b Simplifying a = -2.857142857 + -0.2857142857b
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