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Simplifying 3a + 4b + -5 + -1a + 7b + 3 + -1b = 0 Reorder the terms: -5 + 3 + 3a + -1a + 4b + 7b + -1b = 0 Combine like terms: -5 + 3 = -2 -2 + 3a + -1a + 4b + 7b + -1b = 0 Combine like terms: 3a + -1a = 2a -2 + 2a + 4b + 7b + -1b = 0 Combine like terms: 4b + 7b = 11b -2 + 2a + 11b + -1b = 0 Combine like terms: 11b + -1b = 10b -2 + 2a + 10b = 0 Solving -2 + 2a + 10b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2a + 2 + 10b = 0 + 2 Reorder the terms: -2 + 2 + 2a + 10b = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 2a + 10b = 0 + 2 2a + 10b = 0 + 2 Combine like terms: 0 + 2 = 2 2a + 10b = 2 Add '-10b' to each side of the equation. 2a + 10b + -10b = 2 + -10b Combine like terms: 10b + -10b = 0 2a + 0 = 2 + -10b 2a = 2 + -10b Divide each side by '2'. a = 1 + -5b Simplifying a = 1 + -5b
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