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Simplifying -4.2a + 4.1 + -1(3a + 0.4) + 2.2a = 0 Reorder the terms: -4.2a + 4.1 + -1(0.4 + 3a) + 2.2a = 0 -4.2a + 4.1 + (0.4 * -1 + 3a * -1) + 2.2a = 0 -4.2a + 4.1 + (-0.4 + -3a) + 2.2a = 0 Reorder the terms: 4.1 + -0.4 + -4.2a + -3a + 2.2a = 0 Combine like terms: 4.1 + -0.4 = 3.7 3.7 + -4.2a + -3a + 2.2a = 0 Combine like terms: -4.2a + -3a = -7.2a 3.7 + -7.2a + 2.2a = 0 Combine like terms: -7.2a + 2.2a = -5a 3.7 + -5a = 0 Solving 3.7 + -5a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3.7' to each side of the equation. 3.7 + -3.7 + -5a = 0 + -3.7 Combine like terms: 3.7 + -3.7 = 0.0 0.0 + -5a = 0 + -3.7 -5a = 0 + -3.7 Combine like terms: 0 + -3.7 = -3.7 -5a = -3.7 Divide each side by '-5'. a = 0.74 Simplifying a = 0.74
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