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Simplifying 0.6a + 2 = 0.3(4a + 1) Reorder the terms: 2 + 0.6a = 0.3(4a + 1) Reorder the terms: 2 + 0.6a = 0.3(1 + 4a) 2 + 0.6a = (1 * 0.3 + 4a * 0.3) 2 + 0.6a = (0.3 + 1.2a) Solving 2 + 0.6a = 0.3 + 1.2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1.2a' to each side of the equation. 2 + 0.6a + -1.2a = 0.3 + 1.2a + -1.2a Combine like terms: 0.6a + -1.2a = -0.6a 2 + -0.6a = 0.3 + 1.2a + -1.2a Combine like terms: 1.2a + -1.2a = 0.0 2 + -0.6a = 0.3 + 0.0 2 + -0.6a = 0.3 Add '-2' to each side of the equation. 2 + -2 + -0.6a = 0.3 + -2 Combine like terms: 2 + -2 = 0 0 + -0.6a = 0.3 + -2 -0.6a = 0.3 + -2 Combine like terms: 0.3 + -2 = -1.7 -0.6a = -1.7 Divide each side by '-0.6'. a = 2.833333333 Simplifying a = 2.833333333
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