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Simplifying 0.2(a + -10) = 0.3a + 5 + -3 + 0.1a Reorder the terms: 0.2(-10 + a) = 0.3a + 5 + -3 + 0.1a (-10 * 0.2 + a * 0.2) = 0.3a + 5 + -3 + 0.1a (-2 + 0.2a) = 0.3a + 5 + -3 + 0.1a Reorder the terms: -2 + 0.2a = 5 + -3 + 0.3a + 0.1a Combine like terms: 5 + -3 = 2 -2 + 0.2a = 2 + 0.3a + 0.1a Combine like terms: 0.3a + 0.1a = 0.4a -2 + 0.2a = 2 + 0.4a Solving -2 + 0.2a = 2 + 0.4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.4a' to each side of the equation. -2 + 0.2a + -0.4a = 2 + 0.4a + -0.4a Combine like terms: 0.2a + -0.4a = -0.2a -2 + -0.2a = 2 + 0.4a + -0.4a Combine like terms: 0.4a + -0.4a = 0.0 -2 + -0.2a = 2 + 0.0 -2 + -0.2a = 2 Add '2' to each side of the equation. -2 + 2 + -0.2a = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -0.2a = 2 + 2 -0.2a = 2 + 2 Combine like terms: 2 + 2 = 4 -0.2a = 4 Divide each side by '-0.2'. a = -20 Simplifying a = -20
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