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Simplifying 5a + 3b + -2a + 7b + 4 = 0 Reorder the terms: 4 + 5a + -2a + 3b + 7b = 0 Combine like terms: 5a + -2a = 3a 4 + 3a + 3b + 7b = 0 Combine like terms: 3b + 7b = 10b 4 + 3a + 10b = 0 Solving 4 + 3a + 10b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 3a + -4 + 10b = 0 + -4 Reorder the terms: 4 + -4 + 3a + 10b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3a + 10b = 0 + -4 3a + 10b = 0 + -4 Combine like terms: 0 + -4 = -4 3a + 10b = -4 Add '-10b' to each side of the equation. 3a + 10b + -10b = -4 + -10b Combine like terms: 10b + -10b = 0 3a + 0 = -4 + -10b 3a = -4 + -10b Divide each side by '3'. a = -1.333333333 + -3.333333333b Simplifying a = -1.333333333 + -3.333333333b
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