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Simplifying 2a + -3.2 = 7a + -5.3 Reorder the terms: -3.2 + 2a = 7a + -5.3 Reorder the terms: -3.2 + 2a = -5.3 + 7a Solving -3.2 + 2a = -5.3 + 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. -3.2 + 2a + -7a = -5.3 + 7a + -7a Combine like terms: 2a + -7a = -5a -3.2 + -5a = -5.3 + 7a + -7a Combine like terms: 7a + -7a = 0 -3.2 + -5a = -5.3 + 0 -3.2 + -5a = -5.3 Add '3.2' to each side of the equation. -3.2 + 3.2 + -5a = -5.3 + 3.2 Combine like terms: -3.2 + 3.2 = 0.0 0.0 + -5a = -5.3 + 3.2 -5a = -5.3 + 3.2 Combine like terms: -5.3 + 3.2 = -2.1 -5a = -2.1 Divide each side by '-5'. a = 0.42 Simplifying a = 0.42
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