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Simplifying 6(a + 2) + 2c = -1a + 27 Reorder the terms: 6(2 + a) + 2c = -1a + 27 (2 * 6 + a * 6) + 2c = -1a + 27 (12 + 6a) + 2c = -1a + 27 Reorder the terms: 12 + 6a + 2c = 27 + -1a Solving 12 + 6a + 2c = 27 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 12 + 6a + a + 2c = 27 + -1a + a Combine like terms: 6a + a = 7a 12 + 7a + 2c = 27 + -1a + a Combine like terms: -1a + a = 0 12 + 7a + 2c = 27 + 0 12 + 7a + 2c = 27 Add '-12' to each side of the equation. 12 + 7a + -12 + 2c = 27 + -12 Reorder the terms: 12 + -12 + 7a + 2c = 27 + -12 Combine like terms: 12 + -12 = 0 0 + 7a + 2c = 27 + -12 7a + 2c = 27 + -12 Combine like terms: 27 + -12 = 15 7a + 2c = 15 Add '-2c' to each side of the equation. 7a + 2c + -2c = 15 + -2c Combine like terms: 2c + -2c = 0 7a + 0 = 15 + -2c 7a = 15 + -2c Divide each side by '7'. a = 2.142857143 + -0.2857142857c Simplifying a = 2.142857143 + -0.2857142857c
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