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Simplifying 30 = 6(3a + 2b) 30 = (3a * 6 + 2b * 6) 30 = (18a + 12b) Solving 30 = 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. 30 + -18a = 18a + -18a + 12b Combine like terms: 18a + -18a = 0 30 + -18a = 0 + 12b 30 + -18a = 12b Add '-30' to each side of the equation. 30 + -30 + -18a = -30 + 12b Combine like terms: 30 + -30 = 0 0 + -18a = -30 + 12b -18a = -30 + 12b Divide each side by '-18'. a = 1.666666667 + -0.6666666667b Simplifying a = 1.666666667 + -0.6666666667b
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