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Simplifying 6.7a + -13.4 = 2.8a + 110.23 Reorder the terms: -13.4 + 6.7a = 2.8a + 110.23 Reorder the terms: -13.4 + 6.7a = 110.23 + 2.8a Solving -13.4 + 6.7a = 110.23 + 2.8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2.8a' to each side of the equation. -13.4 + 6.7a + -2.8a = 110.23 + 2.8a + -2.8a Combine like terms: 6.7a + -2.8a = 3.9a -13.4 + 3.9a = 110.23 + 2.8a + -2.8a Combine like terms: 2.8a + -2.8a = 0.0 -13.4 + 3.9a = 110.23 + 0.0 -13.4 + 3.9a = 110.23 Add '13.4' to each side of the equation. -13.4 + 13.4 + 3.9a = 110.23 + 13.4 Combine like terms: -13.4 + 13.4 = 0.0 0.0 + 3.9a = 110.23 + 13.4 3.9a = 110.23 + 13.4 Combine like terms: 110.23 + 13.4 = 123.63 3.9a = 123.63 Divide each side by '3.9'. a = 31.7 Simplifying a = 31.7
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