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Simplifying 7 = 3a + 5a + -1a + 7 Reorder the terms: 7 = 7 + 3a + 5a + -1a Combine like terms: 3a + 5a = 8a 7 = 7 + 8a + -1a Combine like terms: 8a + -1a = 7a 7 = 7 + 7a Add '-7' to each side of the equation. 7 + -7 = 7 + -7 + 7a Combine like terms: 7 + -7 = 0 0 = 7 + -7 + 7a Combine like terms: 7 + -7 = 0 0 = 0 + 7a 0 = 7a Solving 0 = 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. 0 + -7a = 7a + -7a Remove the zero: -7a = 7a + -7a Combine like terms: 7a + -7a = 0 -7a = 0 Divide each side by '-7'. a = 0 Simplifying a = 0
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