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Simplifying 2a + 6b + 5 + -5a + 8b + 3 = 0 Reorder the terms: 5 + 3 + 2a + -5a + 6b + 8b = 0 Combine like terms: 5 + 3 = 8 8 + 2a + -5a + 6b + 8b = 0 Combine like terms: 2a + -5a = -3a 8 + -3a + 6b + 8b = 0 Combine like terms: 6b + 8b = 14b 8 + -3a + 14b = 0 Solving 8 + -3a + 14b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -3a + -8 + 14b = 0 + -8 Reorder the terms: 8 + -8 + -3a + 14b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3a + 14b = 0 + -8 -3a + 14b = 0 + -8 Combine like terms: 0 + -8 = -8 -3a + 14b = -8 Add '-14b' to each side of the equation. -3a + 14b + -14b = -8 + -14b Combine like terms: 14b + -14b = 0 -3a + 0 = -8 + -14b -3a = -8 + -14b Divide each side by '-3'. a = 2.666666667 + 4.666666667b Simplifying a = 2.666666667 + 4.666666667b
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