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Simplifying 6a + 12 + -6a = -4 + 24a + -10 Reorder the terms: 12 + 6a + -6a = -4 + 24a + -10 Combine like terms: 6a + -6a = 0 12 + 0 = -4 + 24a + -10 12 = -4 + 24a + -10 Reorder the terms: 12 = -4 + -10 + 24a Combine like terms: -4 + -10 = -14 12 = -14 + 24a Solving 12 = -14 + 24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24a' to each side of the equation. 12 + -24a = -14 + 24a + -24a Combine like terms: 24a + -24a = 0 12 + -24a = -14 + 0 12 + -24a = -14 Add '-12' to each side of the equation. 12 + -12 + -24a = -14 + -12 Combine like terms: 12 + -12 = 0 0 + -24a = -14 + -12 -24a = -14 + -12 Combine like terms: -14 + -12 = -26 -24a = -26 Divide each side by '-24'. a = 1.083333333 Simplifying a = 1.083333333
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