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Simplifying 5a + -6.1 = 4a + 6.9 Reorder the terms: -6.1 + 5a = 4a + 6.9 Reorder the terms: -6.1 + 5a = 6.9 + 4a Solving -6.1 + 5a = 6.9 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -6.1 + 5a + -4a = 6.9 + 4a + -4a Combine like terms: 5a + -4a = 1a -6.1 + 1a = 6.9 + 4a + -4a Combine like terms: 4a + -4a = 0 -6.1 + 1a = 6.9 + 0 -6.1 + 1a = 6.9 Add '6.1' to each side of the equation. -6.1 + 6.1 + 1a = 6.9 + 6.1 Combine like terms: -6.1 + 6.1 = 0.0 0.0 + 1a = 6.9 + 6.1 1a = 6.9 + 6.1 Combine like terms: 6.9 + 6.1 = 13 1a = 13 Divide each side by '1'. a = 13 Simplifying a = 13
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