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Simplifying 2a + 4a + -10 = 5a + 12 Reorder the terms: -10 + 2a + 4a = 5a + 12 Combine like terms: 2a + 4a = 6a -10 + 6a = 5a + 12 Reorder the terms: -10 + 6a = 12 + 5a Solving -10 + 6a = 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 + 6a + -5a = 12 + 5a + -5a Combine like terms: 6a + -5a = 1a -10 + 1a = 12 + 5a + -5a Combine like terms: 5a + -5a = 0 -10 + 1a = 12 + 0 -10 + 1a = 12 Add '10' to each side of the equation. -10 + 10 + 1a = 12 + 10 Combine like terms: -10 + 10 = 0 0 + 1a = 12 + 10 1a = 12 + 10 Combine like terms: 12 + 10 = 22 1a = 22 Divide each side by '1'. a = 22 Simplifying a = 22
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