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Simplifying 12 + -6a = 8[a + 2] + 6 Reorder the terms: 12 + -6a = 8[2 + a] + 6 12 + -6a = [2 * 8 + a * 8] + 6 12 + -6a = [16 + 8a] + 6 Reorder the terms: 12 + -6a = 16 + 6 + 8a Combine like terms: 16 + 6 = 22 12 + -6a = 22 + 8a Solving 12 + -6a = 22 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 12 + -6a + -8a = 22 + 8a + -8a Combine like terms: -6a + -8a = -14a 12 + -14a = 22 + 8a + -8a Combine like terms: 8a + -8a = 0 12 + -14a = 22 + 0 12 + -14a = 22 Add '-12' to each side of the equation. 12 + -12 + -14a = 22 + -12 Combine like terms: 12 + -12 = 0 0 + -14a = 22 + -12 -14a = 22 + -12 Combine like terms: 22 + -12 = 10 -14a = 10 Divide each side by '-14'. a = -0.7142857143 Simplifying a = -0.7142857143
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