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Simplifying 2a + 2b + 2c + 2d + 2e + 2f = 4g Solving 2a + 2b + 2c + 2d + 2e + 2f = 4g Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. 2a + 2b + 2c + 2d + 2e + -2b + 2f = -2b + 4g Reorder the terms: 2a + 2b + -2b + 2c + 2d + 2e + 2f = -2b + 4g Combine like terms: 2b + -2b = 0 2a + 0 + 2c + 2d + 2e + 2f = -2b + 4g 2a + 2c + 2d + 2e + 2f = -2b + 4g Add '-2c' to each side of the equation. 2a + 2c + 2d + 2e + -2c + 2f = -2b + -2c + 4g Reorder the terms: 2a + 2c + -2c + 2d + 2e + 2f = -2b + -2c + 4g Combine like terms: 2c + -2c = 0 2a + 0 + 2d + 2e + 2f = -2b + -2c + 4g 2a + 2d + 2e + 2f = -2b + -2c + 4g Add '-2d' to each side of the equation. 2a + 2d + 2e + -2d + 2f = -2b + -2c + -2d + 4g Reorder the terms: 2a + 2d + -2d + 2e + 2f = -2b + -2c + -2d + 4g Combine like terms: 2d + -2d = 0 2a + 0 + 2e + 2f = -2b + -2c + -2d + 4g 2a + 2e + 2f = -2b + -2c + -2d + 4g Add '-2e' to each side of the equation. 2a + 2e + -2e + 2f = -2b + -2c + -2d + -2e + 4g Combine like terms: 2e + -2e = 0 2a + 0 + 2f = -2b + -2c + -2d + -2e + 4g 2a + 2f = -2b + -2c + -2d + -2e + 4g Add '-2f' to each side of the equation. 2a + 2f + -2f = -2b + -2c + -2d + -2e + -2f + 4g Combine like terms: 2f + -2f = 0 2a + 0 = -2b + -2c + -2d + -2e + -2f + 4g 2a = -2b + -2c + -2d + -2e + -2f + 4g Divide each side by '2'. a = -1b + -1c + -1d + -1e + -1f + 2g Simplifying a = -1b + -1c + -1d + -1e + -1f + 2g
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