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Simplifying 7.6a + -12.1 = 0.8a + 1.5 Reorder the terms: -12.1 + 7.6a = 0.8a + 1.5 Reorder the terms: -12.1 + 7.6a = 1.5 + 0.8a Solving -12.1 + 7.6a = 1.5 + 0.8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.8a' to each side of the equation. -12.1 + 7.6a + -0.8a = 1.5 + 0.8a + -0.8a Combine like terms: 7.6a + -0.8a = 6.8a -12.1 + 6.8a = 1.5 + 0.8a + -0.8a Combine like terms: 0.8a + -0.8a = 0.0 -12.1 + 6.8a = 1.5 + 0.0 -12.1 + 6.8a = 1.5 Add '12.1' to each side of the equation. -12.1 + 12.1 + 6.8a = 1.5 + 12.1 Combine like terms: -12.1 + 12.1 = 0.0 0.0 + 6.8a = 1.5 + 12.1 6.8a = 1.5 + 12.1 Combine like terms: 1.5 + 12.1 = 13.6 6.8a = 13.6 Divide each side by '6.8'. a = 2 Simplifying a = 2
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