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Simplifying 4a + 5 = 6a + 7 Reorder the terms: 5 + 4a = 6a + 7 Reorder the terms: 5 + 4a = 7 + 6a Solving 5 + 4a = 7 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 5 + 4a + -6a = 7 + 6a + -6a Combine like terms: 4a + -6a = -2a 5 + -2a = 7 + 6a + -6a Combine like terms: 6a + -6a = 0 5 + -2a = 7 + 0 5 + -2a = 7 Add '-5' to each side of the equation. 5 + -5 + -2a = 7 + -5 Combine like terms: 5 + -5 = 0 0 + -2a = 7 + -5 -2a = 7 + -5 Combine like terms: 7 + -5 = 2 -2a = 2 Divide each side by '-2'. a = -1 Simplifying a = -1
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