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Simplifying 1.7a + 8 + -1.62a = 0.4a + -0.32 + 8 Reorder the terms: 8 + 1.7a + -1.62a = 0.4a + -0.32 + 8 Combine like terms: 1.7a + -1.62a = 0.08a 8 + 0.08a = 0.4a + -0.32 + 8 Reorder the terms: 8 + 0.08a = -0.32 + 8 + 0.4a Combine like terms: -0.32 + 8 = 7.68 8 + 0.08a = 7.68 + 0.4a Solving 8 + 0.08a = 7.68 + 0.4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.4a' to each side of the equation. 8 + 0.08a + -0.4a = 7.68 + 0.4a + -0.4a Combine like terms: 0.08a + -0.4a = -0.32a 8 + -0.32a = 7.68 + 0.4a + -0.4a Combine like terms: 0.4a + -0.4a = 0.0 8 + -0.32a = 7.68 + 0.0 8 + -0.32a = 7.68 Add '-8' to each side of the equation. 8 + -8 + -0.32a = 7.68 + -8 Combine like terms: 8 + -8 = 0 0 + -0.32a = 7.68 + -8 -0.32a = 7.68 + -8 Combine like terms: 7.68 + -8 = -0.32 -0.32a = -0.32 Divide each side by '-0.32'. a = 1 Simplifying a = 1
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