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Simplifying 6.4 + -2.9 = 1.4a + 12.1 Combine like terms: 6.4 + -2.9 = 3.5 3.5 = 1.4a + 12.1 Reorder the terms: 3.5 = 12.1 + 1.4a Solving 3.5 = 12.1 + 1.4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1.4a' to each side of the equation. 3.5 + -1.4a = 12.1 + 1.4a + -1.4a Combine like terms: 1.4a + -1.4a = 0.0 3.5 + -1.4a = 12.1 + 0.0 3.5 + -1.4a = 12.1 Add '-3.5' to each side of the equation. 3.5 + -3.5 + -1.4a = 12.1 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + -1.4a = 12.1 + -3.5 -1.4a = 12.1 + -3.5 Combine like terms: 12.1 + -3.5 = 8.6 -1.4a = 8.6 Divide each side by '-1.4'. a = -6.142857143 Simplifying a = -6.142857143
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