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Simplifying 3.7a + -4 + -3.2 = -8.46 + 0.6a + 3.8a Reorder the terms: -4 + -3.2 + 3.7a = -8.46 + 0.6a + 3.8a Combine like terms: -4 + -3.2 = -7.2 -7.2 + 3.7a = -8.46 + 0.6a + 3.8a Combine like terms: 0.6a + 3.8a = 4.4a -7.2 + 3.7a = -8.46 + 4.4a Solving -7.2 + 3.7a = -8.46 + 4.4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4.4a' to each side of the equation. -7.2 + 3.7a + -4.4a = -8.46 + 4.4a + -4.4a Combine like terms: 3.7a + -4.4a = -0.7a -7.2 + -0.7a = -8.46 + 4.4a + -4.4a Combine like terms: 4.4a + -4.4a = 0.0 -7.2 + -0.7a = -8.46 + 0.0 -7.2 + -0.7a = -8.46 Add '7.2' to each side of the equation. -7.2 + 7.2 + -0.7a = -8.46 + 7.2 Combine like terms: -7.2 + 7.2 = 0.0 0.0 + -0.7a = -8.46 + 7.2 -0.7a = -8.46 + 7.2 Combine like terms: -8.46 + 7.2 = -1.26 -0.7a = -1.26 Divide each side by '-0.7'. a = 1.8 Simplifying a = 1.8
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