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Simplifying 0.2a + -4 + -0.3a = 0.7a + 2 Reorder the terms: -4 + 0.2a + -0.3a = 0.7a + 2 Combine like terms: 0.2a + -0.3a = -0.1a -4 + -0.1a = 0.7a + 2 Reorder the terms: -4 + -0.1a = 2 + 0.7a Solving -4 + -0.1a = 2 + 0.7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.7a' to each side of the equation. -4 + -0.1a + -0.7a = 2 + 0.7a + -0.7a Combine like terms: -0.1a + -0.7a = -0.8a -4 + -0.8a = 2 + 0.7a + -0.7a Combine like terms: 0.7a + -0.7a = 0.0 -4 + -0.8a = 2 + 0.0 -4 + -0.8a = 2 Add '4' to each side of the equation. -4 + 4 + -0.8a = 2 + 4 Combine like terms: -4 + 4 = 0 0 + -0.8a = 2 + 4 -0.8a = 2 + 4 Combine like terms: 2 + 4 = 6 -0.8a = 6 Divide each side by '-0.8'. a = -7.5 Simplifying a = -7.5
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