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Simplifying 0.45(a + -4) + 0.55(a + 8) = 0.6 Reorder the terms: 0.45(-4 + a) + 0.55(a + 8) = 0.6 (-4 * 0.45 + a * 0.45) + 0.55(a + 8) = 0.6 (-1.8 + 0.45a) + 0.55(a + 8) = 0.6 Reorder the terms: -1.8 + 0.45a + 0.55(8 + a) = 0.6 -1.8 + 0.45a + (8 * 0.55 + a * 0.55) = 0.6 -1.8 + 0.45a + (4.4 + 0.55a) = 0.6 Reorder the terms: -1.8 + 4.4 + 0.45a + 0.55a = 0.6 Combine like terms: -1.8 + 4.4 = 2.6 2.6 + 0.45a + 0.55a = 0.6 Combine like terms: 0.45a + 0.55a = 1a 2.6 + 1a = 0.6 Solving 2.6 + 1a = 0.6 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2.6' to each side of the equation. 2.6 + -2.6 + 1a = 0.6 + -2.6 Combine like terms: 2.6 + -2.6 = 0.0 0.0 + 1a = 0.6 + -2.6 1a = 0.6 + -2.6 Combine like terms: 0.6 + -2.6 = -2 1a = -2 Divide each side by '1'. a = -2 Simplifying a = -2
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