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Simplifying 6a + 3 = 8a + -21 Reorder the terms: 3 + 6a = 8a + -21 Reorder the terms: 3 + 6a = -21 + 8a Solving 3 + 6a = -21 + 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. 3 + 6a + -8a = -21 + 8a + -8a Combine like terms: 6a + -8a = -2a 3 + -2a = -21 + 8a + -8a Combine like terms: 8a + -8a = 0 3 + -2a = -21 + 0 3 + -2a = -21 Add '-3' to each side of the equation. 3 + -3 + -2a = -21 + -3 Combine like terms: 3 + -3 = 0 0 + -2a = -21 + -3 -2a = -21 + -3 Combine like terms: -21 + -3 = -24 -2a = -24 Divide each side by '-2'. a = 12 Simplifying a = 12
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