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Simplifying 2a + 14 = 2(4a + -6) Reorder the terms: 14 + 2a = 2(4a + -6) Reorder the terms: 14 + 2a = 2(-6 + 4a) 14 + 2a = (-6 * 2 + 4a * 2) 14 + 2a = (-12 + 8a) Solving 14 + 2a = -12 + 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. 14 + 2a + -8a = -12 + 8a + -8a Combine like terms: 2a + -8a = -6a 14 + -6a = -12 + 8a + -8a Combine like terms: 8a + -8a = 0 14 + -6a = -12 + 0 14 + -6a = -12 Add '-14' to each side of the equation. 14 + -14 + -6a = -12 + -14 Combine like terms: 14 + -14 = 0 0 + -6a = -12 + -14 -6a = -12 + -14 Combine like terms: -12 + -14 = -26 -6a = -26 Divide each side by '-6'. a = 4.333333333 Simplifying a = 4.333333333
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