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Simplifying 0.66666 + 6a + -6a = 2a + 2 + -4 Combine like terms: 6a + -6a = 0 0.66666 + 0 = 2a + 2 + -4 0.66666 = 2a + 2 + -4 Reorder the terms: 0.66666 = 2 + -4 + 2a Combine like terms: 2 + -4 = -2 0.66666 = -2 + 2a Solving 0.66666 = -2 + 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. 0.66666 + -2a = -2 + 2a + -2a Combine like terms: 2a + -2a = 0 0.66666 + -2a = -2 + 0 0.66666 + -2a = -2 Add '-0.66666' to each side of the equation. 0.66666 + -0.66666 + -2a = -2 + -0.66666 Combine like terms: 0.66666 + -0.66666 = 0.00000 0.00000 + -2a = -2 + -0.66666 -2a = -2 + -0.66666 Combine like terms: -2 + -0.66666 = -2.66666 -2a = -2.66666 Divide each side by '-2'. a = 1.33333 Simplifying a = 1.33333
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