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Simplifying 6a + 7b + 5 = 16 Reorder the terms: 5 + 6a + 7b = 16 Solving 5 + 6a + 7b = 16 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 + 6a + -5 + 7b = 16 + -5 Reorder the terms: 5 + -5 + 6a + 7b = 16 + -5 Combine like terms: 5 + -5 = 0 0 + 6a + 7b = 16 + -5 6a + 7b = 16 + -5 Combine like terms: 16 + -5 = 11 6a + 7b = 11 Add '-7b' to each side of the equation. 6a + 7b + -7b = 11 + -7b Combine like terms: 7b + -7b = 0 6a + 0 = 11 + -7b 6a = 11 + -7b Divide each side by '6'. a = 1.833333333 + -1.166666667b Simplifying a = 1.833333333 + -1.166666667b
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