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Simplifying 22.4 + 0.8a = 4.8a + -4(3a + -3.1) Reorder the terms: 22.4 + 0.8a = 4.8a + -4(-3.1 + 3a) 22.4 + 0.8a = 4.8a + (-3.1 * -4 + 3a * -4) 22.4 + 0.8a = 4.8a + (12.4 + -12a) Reorder the terms: 22.4 + 0.8a = 12.4 + 4.8a + -12a Combine like terms: 4.8a + -12a = -7.2a 22.4 + 0.8a = 12.4 + -7.2a Solving 22.4 + 0.8a = 12.4 + -7.2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7.2a' to each side of the equation. 22.4 + 0.8a + 7.2a = 12.4 + -7.2a + 7.2a Combine like terms: 0.8a + 7.2a = 8a 22.4 + 8a = 12.4 + -7.2a + 7.2a Combine like terms: -7.2a + 7.2a = 0.0 22.4 + 8a = 12.4 + 0.0 22.4 + 8a = 12.4 Add '-22.4' to each side of the equation. 22.4 + -22.4 + 8a = 12.4 + -22.4 Combine like terms: 22.4 + -22.4 = 0.0 0.0 + 8a = 12.4 + -22.4 8a = 12.4 + -22.4 Combine like terms: 12.4 + -22.4 = -10 8a = -10 Divide each side by '8'. a = -1.25 Simplifying a = -1.25
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