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Simplifying 13a + 14 = 7a + -64 Reorder the terms: 14 + 13a = 7a + -64 Reorder the terms: 14 + 13a = -64 + 7a Solving 14 + 13a = -64 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 14 + 13a + -7a = -64 + 7a + -7a Combine like terms: 13a + -7a = 6a 14 + 6a = -64 + 7a + -7a Combine like terms: 7a + -7a = 0 14 + 6a = -64 + 0 14 + 6a = -64 Add '-14' to each side of the equation. 14 + -14 + 6a = -64 + -14 Combine like terms: 14 + -14 = 0 0 + 6a = -64 + -14 6a = -64 + -14 Combine like terms: -64 + -14 = -78 6a = -78 Divide each side by '6'. a = -13 Simplifying a = -13
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