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Simplifying 0.667a + -2 = 0.333a + 7 Reorder the terms: -2 + 0.667a = 0.333a + 7 Reorder the terms: -2 + 0.667a = 7 + 0.333a Solving -2 + 0.667a = 7 + 0.333a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.333a' to each side of the equation. -2 + 0.667a + -0.333a = 7 + 0.333a + -0.333a Combine like terms: 0.667a + -0.333a = 0.334a -2 + 0.334a = 7 + 0.333a + -0.333a Combine like terms: 0.333a + -0.333a = 0.000 -2 + 0.334a = 7 + 0.000 -2 + 0.334a = 7 Add '2' to each side of the equation. -2 + 2 + 0.334a = 7 + 2 Combine like terms: -2 + 2 = 0 0 + 0.334a = 7 + 2 0.334a = 7 + 2 Combine like terms: 7 + 2 = 9 0.334a = 9 Divide each side by '0.334'. a = 26.94610778 Simplifying a = 26.94610778
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