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Simplifying a + -21 + a = a + 47 Reorder the terms: -21 + a + a = a + 47 Combine like terms: a + a = 2a -21 + 2a = a + 47 Reorder the terms: -21 + 2a = 47 + a Solving -21 + 2a = 47 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -21 + 2a + -1a = 47 + a + -1a Combine like terms: 2a + -1a = 1a -21 + 1a = 47 + a + -1a Combine like terms: a + -1a = 0 -21 + 1a = 47 + 0 -21 + 1a = 47 Add '21' to each side of the equation. -21 + 21 + 1a = 47 + 21 Combine like terms: -21 + 21 = 0 0 + 1a = 47 + 21 1a = 47 + 21 Combine like terms: 47 + 21 = 68 1a = 68 Divide each side by '1'. a = 68 Simplifying a = 68
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