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Simplifying 7a + 10 = 1a + 46 Reorder the terms: 10 + 7a = 1a + 46 Reorder the terms: 10 + 7a = 46 + 1a Solving 10 + 7a = 46 + 1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 10 + 7a + -1a = 46 + 1a + -1a Combine like terms: 7a + -1a = 6a 10 + 6a = 46 + 1a + -1a Combine like terms: 1a + -1a = 0 10 + 6a = 46 + 0 10 + 6a = 46 Add '-10' to each side of the equation. 10 + -10 + 6a = 46 + -10 Combine like terms: 10 + -10 = 0 0 + 6a = 46 + -10 6a = 46 + -10 Combine like terms: 46 + -10 = 36 6a = 36 Divide each side by '6'. a = 6 Simplifying a = 6
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