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Simplifying 14 + -5a = 2(6 + -7a) + -7 14 + -5a = (6 * 2 + -7a * 2) + -7 14 + -5a = (12 + -14a) + -7 Reorder the terms: 14 + -5a = 12 + -7 + -14a Combine like terms: 12 + -7 = 5 14 + -5a = 5 + -14a Solving 14 + -5a = 5 + -14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14a' to each side of the equation. 14 + -5a + 14a = 5 + -14a + 14a Combine like terms: -5a + 14a = 9a 14 + 9a = 5 + -14a + 14a Combine like terms: -14a + 14a = 0 14 + 9a = 5 + 0 14 + 9a = 5 Add '-14' to each side of the equation. 14 + -14 + 9a = 5 + -14 Combine like terms: 14 + -14 = 0 0 + 9a = 5 + -14 9a = 5 + -14 Combine like terms: 5 + -14 = -9 9a = -9 Divide each side by '9'. a = -1 Simplifying a = -1
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