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Simplifying 6a + 7 = -1(14 + a) Reorder the terms: 7 + 6a = -1(14 + a) 7 + 6a = (14 * -1 + a * -1) 7 + 6a = (-14 + -1a) Solving 7 + 6a = -14 + -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. 7 + 6a + a = -14 + -1a + a Combine like terms: 6a + a = 7a 7 + 7a = -14 + -1a + a Combine like terms: -1a + a = 0 7 + 7a = -14 + 0 7 + 7a = -14 Add '-7' to each side of the equation. 7 + -7 + 7a = -14 + -7 Combine like terms: 7 + -7 = 0 0 + 7a = -14 + -7 7a = -14 + -7 Combine like terms: -14 + -7 = -21 7a = -21 Divide each side by '7'. a = -3 Simplifying a = -3
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