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Simplifying 0.3(1 + a) = 2.1a (1 * 0.3 + a * 0.3) = 2.1a (0.3 + 0.3a) = 2.1a Solving 0.3 + 0.3a = 2.1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2.1a' to each side of the equation. 0.3 + 0.3a + -2.1a = 2.1a + -2.1a Combine like terms: 0.3a + -2.1a = -1.8a 0.3 + -1.8a = 2.1a + -2.1a Combine like terms: 2.1a + -2.1a = 0.0 0.3 + -1.8a = 0.0 Add '-0.3' to each side of the equation. 0.3 + -0.3 + -1.8a = 0.0 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + -1.8a = 0.0 + -0.3 -1.8a = 0.0 + -0.3 Combine like terms: 0.0 + -0.3 = -0.3 -1.8a = -0.3 Divide each side by '-1.8'. a = 0.1666666667 Simplifying a = 0.1666666667
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