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Simplifying 0.2a + 3.6 = a + -4.4 Reorder the terms: 3.6 + 0.2a = a + -4.4 Reorder the terms: 3.6 + 0.2a = -4.4 + a Solving 3.6 + 0.2a = -4.4 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 3.6 + 0.2a + -1a = -4.4 + a + -1a Combine like terms: 0.2a + -1a = -0.8a 3.6 + -0.8a = -4.4 + a + -1a Combine like terms: a + -1a = 0 3.6 + -0.8a = -4.4 + 0 3.6 + -0.8a = -4.4 Add '-3.6' to each side of the equation. 3.6 + -3.6 + -0.8a = -4.4 + -3.6 Combine like terms: 3.6 + -3.6 = 0.0 0.0 + -0.8a = -4.4 + -3.6 -0.8a = -4.4 + -3.6 Combine like terms: -4.4 + -3.6 = -8 -0.8a = -8 Divide each side by '-0.8'. a = 10 Simplifying a = 10
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