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Simplifying 8a + -2b + 3a + 7 + 5b + -2 = 0 Reorder the terms: 7 + -2 + 8a + 3a + -2b + 5b = 0 Combine like terms: 7 + -2 = 5 5 + 8a + 3a + -2b + 5b = 0 Combine like terms: 8a + 3a = 11a 5 + 11a + -2b + 5b = 0 Combine like terms: -2b + 5b = 3b 5 + 11a + 3b = 0 Solving 5 + 11a + 3b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 11a + -5 + 3b = 0 + -5 Reorder the terms: 5 + -5 + 11a + 3b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 11a + 3b = 0 + -5 11a + 3b = 0 + -5 Combine like terms: 0 + -5 = -5 11a + 3b = -5 Add '-3b' to each side of the equation. 11a + 3b + -3b = -5 + -3b Combine like terms: 3b + -3b = 0 11a + 0 = -5 + -3b 11a = -5 + -3b Divide each side by '11'. a = -0.4545454545 + -0.2727272727b Simplifying a = -0.4545454545 + -0.2727272727b
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