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Simplifying 6a + 21 = -3a + -12 Reorder the terms: 21 + 6a = -3a + -12 Reorder the terms: 21 + 6a = -12 + -3a Solving 21 + 6a = -12 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 21 + 6a + 3a = -12 + -3a + 3a Combine like terms: 6a + 3a = 9a 21 + 9a = -12 + -3a + 3a Combine like terms: -3a + 3a = 0 21 + 9a = -12 + 0 21 + 9a = -12 Add '-21' to each side of the equation. 21 + -21 + 9a = -12 + -21 Combine like terms: 21 + -21 = 0 0 + 9a = -12 + -21 9a = -12 + -21 Combine like terms: -12 + -21 = -33 9a = -33 Divide each side by '9'. a = -3.666666667 Simplifying a = -3.666666667
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