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Simplifying 0.3a + 0.7 = 0.5a + -0.1 Reorder the terms: 0.7 + 0.3a = 0.5a + -0.1 Reorder the terms: 0.7 + 0.3a = -0.1 + 0.5a Solving 0.7 + 0.3a = -0.1 + 0.5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.5a' to each side of the equation. 0.7 + 0.3a + -0.5a = -0.1 + 0.5a + -0.5a Combine like terms: 0.3a + -0.5a = -0.2a 0.7 + -0.2a = -0.1 + 0.5a + -0.5a Combine like terms: 0.5a + -0.5a = 0.0 0.7 + -0.2a = -0.1 + 0.0 0.7 + -0.2a = -0.1 Add '-0.7' to each side of the equation. 0.7 + -0.7 + -0.2a = -0.1 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + -0.2a = -0.1 + -0.7 -0.2a = -0.1 + -0.7 Combine like terms: -0.1 + -0.7 = -0.8 -0.2a = -0.8 Divide each side by '-0.2'. a = 4 Simplifying a = 4
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