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Simplifying 42 = 6(3a + 2b) 42 = (3a * 6 + 2b * 6) 42 = (18a + 12b) Solving 42 = 18a + 12b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18a' to each side of the equation. 42 + -18a = 18a + -18a + 12b Combine like terms: 18a + -18a = 0 42 + -18a = 0 + 12b 42 + -18a = 12b Add '-42' to each side of the equation. 42 + -42 + -18a = -42 + 12b Combine like terms: 42 + -42 = 0 0 + -18a = -42 + 12b -18a = -42 + 12b Divide each side by '-18'. a = 2.333333333 + -0.6666666667b Simplifying a = 2.333333333 + -0.6666666667b
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