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Simplifying a + -6b + 2c + a + -6b + n + -2c = 0 Reorder the terms: a + a + -6b + -6b + 2c + -2c + n = 0 Combine like terms: a + a = 2a 2a + -6b + -6b + 2c + -2c + n = 0 Combine like terms: -6b + -6b = -12b 2a + -12b + 2c + -2c + n = 0 Combine like terms: 2c + -2c = 0 2a + -12b + 0 + n = 0 2a + -12b + n = 0 Solving 2a + -12b + n = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12b' to each side of the equation. 2a + -12b + 12b + n = 0 + 12b Combine like terms: -12b + 12b = 0 2a + 0 + n = 0 + 12b 2a + n = 0 + 12b Remove the zero: 2a + n = 12b Add '-1n' to each side of the equation. 2a + n + -1n = 12b + -1n Combine like terms: n + -1n = 0 2a + 0 = 12b + -1n 2a = 12b + -1n Divide each side by '2'. a = 6b + -0.5n Simplifying a = 6b + -0.5n
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