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Simplifying 4a + 5 = 7a + -1 Reorder the terms: 5 + 4a = 7a + -1 Reorder the terms: 5 + 4a = -1 + 7a Solving 5 + 4a = -1 + 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. 5 + 4a + -7a = -1 + 7a + -7a Combine like terms: 4a + -7a = -3a 5 + -3a = -1 + 7a + -7a Combine like terms: 7a + -7a = 0 5 + -3a = -1 + 0 5 + -3a = -1 Add '-5' to each side of the equation. 5 + -5 + -3a = -1 + -5 Combine like terms: 5 + -5 = 0 0 + -3a = -1 + -5 -3a = -1 + -5 Combine like terms: -1 + -5 = -6 -3a = -6 Divide each side by '-3'. a = 2 Simplifying a = 2
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