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Simplifying 6a + 7 = 4a + -7 Reorder the terms: 7 + 6a = 4a + -7 Reorder the terms: 7 + 6a = -7 + 4a Solving 7 + 6a = -7 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 7 + 6a + -4a = -7 + 4a + -4a Combine like terms: 6a + -4a = 2a 7 + 2a = -7 + 4a + -4a Combine like terms: 4a + -4a = 0 7 + 2a = -7 + 0 7 + 2a = -7 Add '-7' to each side of the equation. 7 + -7 + 2a = -7 + -7 Combine like terms: 7 + -7 = 0 0 + 2a = -7 + -7 2a = -7 + -7 Combine like terms: -7 + -7 = -14 2a = -14 Divide each side by '2'. a = -7 Simplifying a = -7
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