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Simplifying 0.166(a + -4) = 0.33(2a + 4) Reorder the terms: 0.166(-4 + a) = 0.33(2a + 4) (-4 * 0.166 + a * 0.166) = 0.33(2a + 4) (-0.664 + 0.166a) = 0.33(2a + 4) Reorder the terms: -0.664 + 0.166a = 0.33(4 + 2a) -0.664 + 0.166a = (4 * 0.33 + 2a * 0.33) -0.664 + 0.166a = (1.32 + 0.66a) Solving -0.664 + 0.166a = 1.32 + 0.66a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.66a' to each side of the equation. -0.664 + 0.166a + -0.66a = 1.32 + 0.66a + -0.66a Combine like terms: 0.166a + -0.66a = -0.494a -0.664 + -0.494a = 1.32 + 0.66a + -0.66a Combine like terms: 0.66a + -0.66a = 0.00 -0.664 + -0.494a = 1.32 + 0.00 -0.664 + -0.494a = 1.32 Add '0.664' to each side of the equation. -0.664 + 0.664 + -0.494a = 1.32 + 0.664 Combine like terms: -0.664 + 0.664 = 0.000 0.000 + -0.494a = 1.32 + 0.664 -0.494a = 1.32 + 0.664 Combine like terms: 1.32 + 0.664 = 1.984 -0.494a = 1.984 Divide each side by '-0.494'. a = -4.016194332 Simplifying a = -4.016194332
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