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Simplifying -0.5(a + -8) = 0.4(a + 1) Reorder the terms: -0.5(-8 + a) = 0.4(a + 1) (-8 * -0.5 + a * -0.5) = 0.4(a + 1) (4 + -0.5a) = 0.4(a + 1) Reorder the terms: 4 + -0.5a = 0.4(1 + a) 4 + -0.5a = (1 * 0.4 + a * 0.4) 4 + -0.5a = (0.4 + 0.4a) Solving 4 + -0.5a = 0.4 + 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. 4 + -0.5a + -0.4a = 0.4 + 0.4a + -0.4a Combine like terms: -0.5a + -0.4a = -0.9a 4 + -0.9a = 0.4 + 0.4a + -0.4a Combine like terms: 0.4a + -0.4a = 0.0 4 + -0.9a = 0.4 + 0.0 4 + -0.9a = 0.4 Add '-4' to each side of the equation. 4 + -4 + -0.9a = 0.4 + -4 Combine like terms: 4 + -4 = 0 0 + -0.9a = 0.4 + -4 -0.9a = 0.4 + -4 Combine like terms: 0.4 + -4 = -3.6 -0.9a = -3.6 Divide each side by '-0.9'. a = 4 Simplifying a = 4
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