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Simplifying 6a + -12 = 42 + 5a Reorder the terms: -12 + 6a = 42 + 5a Solving -12 + 6a = 42 + 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. -12 + 6a + -5a = 42 + 5a + -5a Combine like terms: 6a + -5a = 1a -12 + 1a = 42 + 5a + -5a Combine like terms: 5a + -5a = 0 -12 + 1a = 42 + 0 -12 + 1a = 42 Add '12' to each side of the equation. -12 + 12 + 1a = 42 + 12 Combine like terms: -12 + 12 = 0 0 + 1a = 42 + 12 1a = 42 + 12 Combine like terms: 42 + 12 = 54 1a = 54 Divide each side by '1'. a = 54 Simplifying a = 54
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