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Simplifying 5a + -3b + -2a + 6 + 7b = 0 Reorder the terms: 6 + 5a + -2a + -3b + 7b = 0 Combine like terms: 5a + -2a = 3a 6 + 3a + -3b + 7b = 0 Combine like terms: -3b + 7b = 4b 6 + 3a + 4b = 0 Solving 6 + 3a + 4b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 3a + -6 + 4b = 0 + -6 Reorder the terms: 6 + -6 + 3a + 4b = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 3a + 4b = 0 + -6 3a + 4b = 0 + -6 Combine like terms: 0 + -6 = -6 3a + 4b = -6 Add '-4b' to each side of the equation. 3a + 4b + -4b = -6 + -4b Combine like terms: 4b + -4b = 0 3a + 0 = -6 + -4b 3a = -6 + -4b Divide each side by '3'. a = -2 + -1.333333333b Simplifying a = -2 + -1.333333333b
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