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Simplifying 45 + 6(a + b) + a = 0 45 + (a * 6 + b * 6) + a = 0 45 + (6a + 6b) + a = 0 Reorder the terms: 45 + 6a + a + 6b = 0 Combine like terms: 6a + a = 7a 45 + 7a + 6b = 0 Solving 45 + 7a + 6b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + 7a + -45 + 6b = 0 + -45 Reorder the terms: 45 + -45 + 7a + 6b = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 7a + 6b = 0 + -45 7a + 6b = 0 + -45 Combine like terms: 0 + -45 = -45 7a + 6b = -45 Add '-6b' to each side of the equation. 7a + 6b + -6b = -45 + -6b Combine like terms: 6b + -6b = 0 7a + 0 = -45 + -6b 7a = -45 + -6b Divide each side by '7'. a = -6.428571429 + -0.8571428571b Simplifying a = -6.428571429 + -0.8571428571b
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