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Simplifying 0.33333a + -5 = 2a + 1.66666 Reorder the terms: -5 + 0.33333a = 2a + 1.66666 Reorder the terms: -5 + 0.33333a = 1.66666 + 2a Solving -5 + 0.33333a = 1.66666 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -5 + 0.33333a + -2a = 1.66666 + 2a + -2a Combine like terms: 0.33333a + -2a = -1.66667a -5 + -1.66667a = 1.66666 + 2a + -2a Combine like terms: 2a + -2a = 0 -5 + -1.66667a = 1.66666 + 0 -5 + -1.66667a = 1.66666 Add '5' to each side of the equation. -5 + 5 + -1.66667a = 1.66666 + 5 Combine like terms: -5 + 5 = 0 0 + -1.66667a = 1.66666 + 5 -1.66667a = 1.66666 + 5 Combine like terms: 1.66666 + 5 = 6.66666 -1.66667a = 6.66666 Divide each side by '-1.66667'. a = -3.999988 Simplifying a = -3.999988
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