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Simplifying 10.4a + 7 = 3.6a + 31.48 Reorder the terms: 7 + 10.4a = 3.6a + 31.48 Reorder the terms: 7 + 10.4a = 31.48 + 3.6a Solving 7 + 10.4a = 31.48 + 3.6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3.6a' to each side of the equation. 7 + 10.4a + -3.6a = 31.48 + 3.6a + -3.6a Combine like terms: 10.4a + -3.6a = 6.8a 7 + 6.8a = 31.48 + 3.6a + -3.6a Combine like terms: 3.6a + -3.6a = 0.0 7 + 6.8a = 31.48 + 0.0 7 + 6.8a = 31.48 Add '-7' to each side of the equation. 7 + -7 + 6.8a = 31.48 + -7 Combine like terms: 7 + -7 = 0 0 + 6.8a = 31.48 + -7 6.8a = 31.48 + -7 Combine like terms: 31.48 + -7 = 24.48 6.8a = 24.48 Divide each side by '6.8'. a = 3.6 Simplifying a = 3.6
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