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Simplifying 6a + -48 + 21 = 5a + 2 Reorder the terms: -48 + 21 + 6a = 5a + 2 Combine like terms: -48 + 21 = -27 -27 + 6a = 5a + 2 Reorder the terms: -27 + 6a = 2 + 5a Solving -27 + 6a = 2 + 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. -27 + 6a + -5a = 2 + 5a + -5a Combine like terms: 6a + -5a = 1a -27 + 1a = 2 + 5a + -5a Combine like terms: 5a + -5a = 0 -27 + 1a = 2 + 0 -27 + 1a = 2 Add '27' to each side of the equation. -27 + 27 + 1a = 2 + 27 Combine like terms: -27 + 27 = 0 0 + 1a = 2 + 27 1a = 2 + 27 Combine like terms: 2 + 27 = 29 1a = 29 Divide each side by '1'. a = 29 Simplifying a = 29
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