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Simplifying 3a + 2b + -7 + 8a + b + 3 = 0 Reorder the terms: -7 + 3 + 3a + 8a + 2b + b = 0 Combine like terms: -7 + 3 = -4 -4 + 3a + 8a + 2b + b = 0 Combine like terms: 3a + 8a = 11a -4 + 11a + 2b + b = 0 Combine like terms: 2b + b = 3b -4 + 11a + 3b = 0 Solving -4 + 11a + 3b = 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 + 11a + 4 + 3b = 0 + 4 Reorder the terms: -4 + 4 + 11a + 3b = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 11a + 3b = 0 + 4 11a + 3b = 0 + 4 Combine like terms: 0 + 4 = 4 11a + 3b = 4 Add '-3b' to each side of the equation. 11a + 3b + -3b = 4 + -3b Combine like terms: 3b + -3b = 0 11a + 0 = 4 + -3b 11a = 4 + -3b Divide each side by '11'. a = 0.3636363636 + -0.2727272727b Simplifying a = 0.3636363636 + -0.2727272727b
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