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Simplifying 10a + -4.3 = 9a + 4.7 Reorder the terms: -4.3 + 10a = 9a + 4.7 Reorder the terms: -4.3 + 10a = 4.7 + 9a Solving -4.3 + 10a = 4.7 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. -4.3 + 10a + -9a = 4.7 + 9a + -9a Combine like terms: 10a + -9a = 1a -4.3 + 1a = 4.7 + 9a + -9a Combine like terms: 9a + -9a = 0 -4.3 + 1a = 4.7 + 0 -4.3 + 1a = 4.7 Add '4.3' to each side of the equation. -4.3 + 4.3 + 1a = 4.7 + 4.3 Combine like terms: -4.3 + 4.3 = 0.0 0.0 + 1a = 4.7 + 4.3 1a = 4.7 + 4.3 Combine like terms: 4.7 + 4.3 = 9 1a = 9 Divide each side by '1'. a = 9 Simplifying a = 9
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