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Simplifying 7a + -10 = 5a + 12 Reorder the terms: -10 + 7a = 5a + 12 Reorder the terms: -10 + 7a = 12 + 5a Solving -10 + 7a = 12 + 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 = 12 + 5a + -5a Combine like terms: 7a + -5a = 2a -10 + 2a = 12 + 5a + -5a Combine like terms: 5a + -5a = 0 -10 + 2a = 12 + 0 -10 + 2a = 12 Add '10' to each side of the equation. -10 + 10 + 2a = 12 + 10 Combine like terms: -10 + 10 = 0 0 + 2a = 12 + 10 2a = 12 + 10 Combine like terms: 12 + 10 = 22 2a = 22 Divide each side by '2'. a = 11 Simplifying a = 11
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