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Simplifying 7a + 10 = 5a Reorder the terms: 10 + 7a = 5a Solving 10 + 7a = 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 10 + 7a + -5a = 5a + -5a Combine like terms: 7a + -5a = 2a 10 + 2a = 5a + -5a Combine like terms: 5a + -5a = 0 10 + 2a = 0 Add '-10' to each side of the equation. 10 + -10 + 2a = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 2a = 0 + -10 2a = 0 + -10 Combine like terms: 0 + -10 = -10 2a = -10 Divide each side by '2'. a = -5 Simplifying a = -5
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