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Simplifying 0.1a + -0.3 = 0.2a + -8.3 Reorder the terms: -0.3 + 0.1a = 0.2a + -8.3 Reorder the terms: -0.3 + 0.1a = -8.3 + 0.2a Solving -0.3 + 0.1a = -8.3 + 0.2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.2a' to each side of the equation. -0.3 + 0.1a + -0.2a = -8.3 + 0.2a + -0.2a Combine like terms: 0.1a + -0.2a = -0.1a -0.3 + -0.1a = -8.3 + 0.2a + -0.2a Combine like terms: 0.2a + -0.2a = 0.0 -0.3 + -0.1a = -8.3 + 0.0 -0.3 + -0.1a = -8.3 Add '0.3' to each side of the equation. -0.3 + 0.3 + -0.1a = -8.3 + 0.3 Combine like terms: -0.3 + 0.3 = 0.0 0.0 + -0.1a = -8.3 + 0.3 -0.1a = -8.3 + 0.3 Combine like terms: -8.3 + 0.3 = -8 -0.1a = -8 Divide each side by '-0.1'. a = 80 Simplifying a = 80
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