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Simplifying 7a + -8.3 = 6a + 6.7 Reorder the terms: -8.3 + 7a = 6a + 6.7 Reorder the terms: -8.3 + 7a = 6.7 + 6a Solving -8.3 + 7a = 6.7 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -8.3 + 7a + -6a = 6.7 + 6a + -6a Combine like terms: 7a + -6a = 1a -8.3 + 1a = 6.7 + 6a + -6a Combine like terms: 6a + -6a = 0 -8.3 + 1a = 6.7 + 0 -8.3 + 1a = 6.7 Add '8.3' to each side of the equation. -8.3 + 8.3 + 1a = 6.7 + 8.3 Combine like terms: -8.3 + 8.3 = 0.0 0.0 + 1a = 6.7 + 8.3 1a = 6.7 + 8.3 Combine like terms: 6.7 + 8.3 = 15 1a = 15 Divide each side by '1'. a = 15 Simplifying a = 15
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