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Simplifying 10a + 21 = -3 + -2a Reorder the terms: 21 + 10a = -3 + -2a Solving 21 + 10a = -3 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 21 + 10a + 2a = -3 + -2a + 2a Combine like terms: 10a + 2a = 12a 21 + 12a = -3 + -2a + 2a Combine like terms: -2a + 2a = 0 21 + 12a = -3 + 0 21 + 12a = -3 Add '-21' to each side of the equation. 21 + -21 + 12a = -3 + -21 Combine like terms: 21 + -21 = 0 0 + 12a = -3 + -21 12a = -3 + -21 Combine like terms: -3 + -21 = -24 12a = -24 Divide each side by '12'. a = -2 Simplifying a = -2
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