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Simplifying 6(a + 2) + -1b = 31 Reorder the terms: 6(2 + a) + -1b = 31 (2 * 6 + a * 6) + -1b = 31 (12 + 6a) + -1b = 31 Solving 12 + 6a + -1b = 31 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 6a + -12 + -1b = 31 + -12 Reorder the terms: 12 + -12 + 6a + -1b = 31 + -12 Combine like terms: 12 + -12 = 0 0 + 6a + -1b = 31 + -12 6a + -1b = 31 + -12 Combine like terms: 31 + -12 = 19 6a + -1b = 19 Add 'b' to each side of the equation. 6a + -1b + b = 19 + b Combine like terms: -1b + b = 0 6a + 0 = 19 + b 6a = 19 + b Divide each side by '6'. a = 3.166666667 + 0.1666666667b Simplifying a = 3.166666667 + 0.1666666667b
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