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Simplifying 5.3a + -7.9 = 2.6a + 2.9 Reorder the terms: -7.9 + 5.3a = 2.6a + 2.9 Reorder the terms: -7.9 + 5.3a = 2.9 + 2.6a Solving -7.9 + 5.3a = 2.9 + 2.6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2.6a' to each side of the equation. -7.9 + 5.3a + -2.6a = 2.9 + 2.6a + -2.6a Combine like terms: 5.3a + -2.6a = 2.7a -7.9 + 2.7a = 2.9 + 2.6a + -2.6a Combine like terms: 2.6a + -2.6a = 0.0 -7.9 + 2.7a = 2.9 + 0.0 -7.9 + 2.7a = 2.9 Add '7.9' to each side of the equation. -7.9 + 7.9 + 2.7a = 2.9 + 7.9 Combine like terms: -7.9 + 7.9 = 0.0 0.0 + 2.7a = 2.9 + 7.9 2.7a = 2.9 + 7.9 Combine like terms: 2.9 + 7.9 = 10.8 2.7a = 10.8 Divide each side by '2.7'. a = 4 Simplifying a = 4
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