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