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Simplifying 3a + 2b = 3(4) + 2(9) Multiply 3 * 4 3a + 2b = 12 + 2(9) Multiply 2 * 9 3a + 2b = 12 + 18 Combine like terms: 12 + 18 = 30 3a + 2b = 30 Solving 3a + 2b = 30 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. 3a + 2b + -2b = 30 + -2b Combine like terms: 2b + -2b = 0 3a + 0 = 30 + -2b 3a = 30 + -2b Divide each side by '3'. a = 10 + -0.6666666667b Simplifying a = 10 + -0.6666666667b
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