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Simplifying a + 21 = 8a Reorder the terms: 21 + a = 8a Solving 21 + a = 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 21 + a + -8a = 8a + -8a Combine like terms: a + -8a = -7a 21 + -7a = 8a + -8a Combine like terms: 8a + -8a = 0 21 + -7a = 0 Add '-21' to each side of the equation. 21 + -21 + -7a = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -7a = 0 + -21 -7a = 0 + -21 Combine like terms: 0 + -21 = -21 -7a = -21 Divide each side by '-7'. a = 3 Simplifying a = 3
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