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Simplifying 7a + 0.4 = 2(a + -5) Reorder the terms: 0.4 + 7a = 2(a + -5) Reorder the terms: 0.4 + 7a = 2(-5 + a) 0.4 + 7a = (-5 * 2 + a * 2) 0.4 + 7a = (-10 + 2a) Solving 0.4 + 7a = -10 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 0.4 + 7a + -2a = -10 + 2a + -2a Combine like terms: 7a + -2a = 5a 0.4 + 5a = -10 + 2a + -2a Combine like terms: 2a + -2a = 0 0.4 + 5a = -10 + 0 0.4 + 5a = -10 Add '-0.4' to each side of the equation. 0.4 + -0.4 + 5a = -10 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 5a = -10 + -0.4 5a = -10 + -0.4 Combine like terms: -10 + -0.4 = -10.4 5a = -10.4 Divide each side by '5'. a = -2.08 Simplifying a = -2.08
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