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Simplifying -0.6a + 0.83a + -0.16 = a Reorder the terms: -0.16 + -0.6a + 0.83a = a Combine like terms: -0.6a + 0.83a = 0.23a -0.16 + 0.23a = a Solving -0.16 + 0.23a = a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -0.16 + 0.23a + -1a = a + -1a Combine like terms: 0.23a + -1a = -0.77a -0.16 + -0.77a = a + -1a Combine like terms: a + -1a = 0 -0.16 + -0.77a = 0 Add '0.16' to each side of the equation. -0.16 + 0.16 + -0.77a = 0 + 0.16 Combine like terms: -0.16 + 0.16 = 0.00 0.00 + -0.77a = 0 + 0.16 -0.77a = 0 + 0.16 Combine like terms: 0 + 0.16 = 0.16 -0.77a = 0.16 Divide each side by '-0.77'. a = -0.2077922078 Simplifying a = -0.2077922078
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