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Simplifying 0.667a + 5 = 1.667a Reorder the terms: 5 + 0.667a = 1.667a Solving 5 + 0.667a = 1.667a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1.667a' to each side of the equation. 5 + 0.667a + -1.667a = 1.667a + -1.667a Combine like terms: 0.667a + -1.667a = -1a 5 + -1a = 1.667a + -1.667a Combine like terms: 1.667a + -1.667a = 0.000 5 + -1a = 0.000 Add '-5' to each side of the equation. 5 + -5 + -1a = 0.000 + -5 Combine like terms: 5 + -5 = 0 0 + -1a = 0.000 + -5 -1a = 0.000 + -5 Combine like terms: 0.000 + -5 = -5 -1a = -5 Divide each side by '-1'. a = 5 Simplifying a = 5
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