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Simplifying 6a + 3b + 7 + 4a + -5b + 3 = 0 Reorder the terms: 7 + 3 + 6a + 4a + 3b + -5b = 0 Combine like terms: 7 + 3 = 10 10 + 6a + 4a + 3b + -5b = 0 Combine like terms: 6a + 4a = 10a 10 + 10a + 3b + -5b = 0 Combine like terms: 3b + -5b = -2b 10 + 10a + -2b = 0 Solving 10 + 10a + -2b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 10a + -10 + -2b = 0 + -10 Reorder the terms: 10 + -10 + 10a + -2b = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 10a + -2b = 0 + -10 10a + -2b = 0 + -10 Combine like terms: 0 + -10 = -10 10a + -2b = -10 Add '2b' to each side of the equation. 10a + -2b + 2b = -10 + 2b Combine like terms: -2b + 2b = 0 10a + 0 = -10 + 2b 10a = -10 + 2b Divide each side by '10'. a = -1 + 0.2b Simplifying a = -1 + 0.2b
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