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Simplifying 8 + 4a + 6.2 + -9a = 1.2a + 8 Reorder the terms: 8 + 6.2 + 4a + -9a = 1.2a + 8 Combine like terms: 8 + 6.2 = 14.2 14.2 + 4a + -9a = 1.2a + 8 Combine like terms: 4a + -9a = -5a 14.2 + -5a = 1.2a + 8 Reorder the terms: 14.2 + -5a = 8 + 1.2a Solving 14.2 + -5a = 8 + 1.2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1.2a' to each side of the equation. 14.2 + -5a + -1.2a = 8 + 1.2a + -1.2a Combine like terms: -5a + -1.2a = -6.2a 14.2 + -6.2a = 8 + 1.2a + -1.2a Combine like terms: 1.2a + -1.2a = 0.0 14.2 + -6.2a = 8 + 0.0 14.2 + -6.2a = 8 Add '-14.2' to each side of the equation. 14.2 + -14.2 + -6.2a = 8 + -14.2 Combine like terms: 14.2 + -14.2 = 0.0 0.0 + -6.2a = 8 + -14.2 -6.2a = 8 + -14.2 Combine like terms: 8 + -14.2 = -6.2 -6.2a = -6.2 Divide each side by '-6.2'. a = 1 Simplifying a = 1
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