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Simplifying 14 = 10(3a + 2b) 14 = (3a * 10 + 2b * 10) 14 = (30a + 20b) Solving 14 = 30a + 20b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-30a' to each side of the equation. 14 + -30a = 30a + -30a + 20b Combine like terms: 30a + -30a = 0 14 + -30a = 0 + 20b 14 + -30a = 20b Add '-14' to each side of the equation. 14 + -14 + -30a = -14 + 20b Combine like terms: 14 + -14 = 0 0 + -30a = -14 + 20b -30a = -14 + 20b Divide each side by '-30'. a = 0.4666666667 + -0.6666666667b Simplifying a = 0.4666666667 + -0.6666666667b
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