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Simplifying 3(a + -1b) = 2b + 7 (a * 3 + -1b * 3) = 2b + 7 (3a + -3b) = 2b + 7 Reorder the terms: 3a + -3b = 7 + 2b Solving 3a + -3b = 7 + 2b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3b' to each side of the equation. 3a + -3b + 3b = 7 + 2b + 3b Combine like terms: -3b + 3b = 0 3a + 0 = 7 + 2b + 3b 3a = 7 + 2b + 3b Combine like terms: 2b + 3b = 5b 3a = 7 + 5b Divide each side by '3'. a = 2.333333333 + 1.666666667b Simplifying a = 2.333333333 + 1.666666667b
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