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Simplifying -12a + -3 + 6a = 8a + -24 Reorder the terms: -3 + -12a + 6a = 8a + -24 Combine like terms: -12a + 6a = -6a -3 + -6a = 8a + -24 Reorder the terms: -3 + -6a = -24 + 8a Solving -3 + -6a = -24 + 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 = -24 + 8a + -8a Combine like terms: -6a + -8a = -14a -3 + -14a = -24 + 8a + -8a Combine like terms: 8a + -8a = 0 -3 + -14a = -24 + 0 -3 + -14a = -24 Add '3' to each side of the equation. -3 + 3 + -14a = -24 + 3 Combine like terms: -3 + 3 = 0 0 + -14a = -24 + 3 -14a = -24 + 3 Combine like terms: -24 + 3 = -21 -14a = -21 Divide each side by '-14'. a = 1.5 Simplifying a = 1.5
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