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Simplifying 3a + 21 = 7 + -4a Reorder the terms: 21 + 3a = 7 + -4a Solving 21 + 3a = 7 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 21 + 3a + 4a = 7 + -4a + 4a Combine like terms: 3a + 4a = 7a 21 + 7a = 7 + -4a + 4a Combine like terms: -4a + 4a = 0 21 + 7a = 7 + 0 21 + 7a = 7 Add '-21' to each side of the equation. 21 + -21 + 7a = 7 + -21 Combine like terms: 21 + -21 = 0 0 + 7a = 7 + -21 7a = 7 + -21 Combine like terms: 7 + -21 = -14 7a = -14 Divide each side by '7'. a = -2 Simplifying a = -2
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