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Simplifying 8a + -7.4 = 7a + 4.6 Reorder the terms: -7.4 + 8a = 7a + 4.6 Reorder the terms: -7.4 + 8a = 4.6 + 7a Solving -7.4 + 8a = 4.6 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -7.4 + 8a + -7a = 4.6 + 7a + -7a Combine like terms: 8a + -7a = 1a -7.4 + 1a = 4.6 + 7a + -7a Combine like terms: 7a + -7a = 0 -7.4 + 1a = 4.6 + 0 -7.4 + 1a = 4.6 Add '7.4' to each side of the equation. -7.4 + 7.4 + 1a = 4.6 + 7.4 Combine like terms: -7.4 + 7.4 = 0.0 0.0 + 1a = 4.6 + 7.4 1a = 4.6 + 7.4 Combine like terms: 4.6 + 7.4 = 12 1a = 12 Divide each side by '1'. a = 12 Simplifying a = 12
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