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Simplifying 4.9a + 4.6 = 3.2a + -2.2 Reorder the terms: 4.6 + 4.9a = 3.2a + -2.2 Reorder the terms: 4.6 + 4.9a = -2.2 + 3.2a Solving 4.6 + 4.9a = -2.2 + 3.2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3.2a' to each side of the equation. 4.6 + 4.9a + -3.2a = -2.2 + 3.2a + -3.2a Combine like terms: 4.9a + -3.2a = 1.7a 4.6 + 1.7a = -2.2 + 3.2a + -3.2a Combine like terms: 3.2a + -3.2a = 0.0 4.6 + 1.7a = -2.2 + 0.0 4.6 + 1.7a = -2.2 Add '-4.6' to each side of the equation. 4.6 + -4.6 + 1.7a = -2.2 + -4.6 Combine like terms: 4.6 + -4.6 = 0.0 0.0 + 1.7a = -2.2 + -4.6 1.7a = -2.2 + -4.6 Combine like terms: -2.2 + -4.6 = -6.8 1.7a = -6.8 Divide each side by '1.7'. a = -4 Simplifying a = -4
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