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Simplifying 2(7a + 0.3) + 3(1 + -2a) = 4.4 Reorder the terms: 2(0.3 + 7a) + 3(1 + -2a) = 4.4 (0.3 * 2 + 7a * 2) + 3(1 + -2a) = 4.4 (0.6 + 14a) + 3(1 + -2a) = 4.4 0.6 + 14a + (1 * 3 + -2a * 3) = 4.4 0.6 + 14a + (3 + -6a) = 4.4 Reorder the terms: 0.6 + 3 + 14a + -6a = 4.4 Combine like terms: 0.6 + 3 = 3.6 3.6 + 14a + -6a = 4.4 Combine like terms: 14a + -6a = 8a 3.6 + 8a = 4.4 Solving 3.6 + 8a = 4.4 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3.6' to each side of the equation. 3.6 + -3.6 + 8a = 4.4 + -3.6 Combine like terms: 3.6 + -3.6 = 0.0 0.0 + 8a = 4.4 + -3.6 8a = 4.4 + -3.6 Combine like terms: 4.4 + -3.6 = 0.8 8a = 0.8 Divide each side by '8'. a = 0.1 Simplifying a = 0.1
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