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Simplifying -6 = -4a + 114 + -8a Reorder the terms: -6 = 114 + -4a + -8a Combine like terms: -4a + -8a = -12a -6 = 114 + -12a Solving -6 = 114 + -12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12a' to each side of the equation. -6 + 12a = 114 + -12a + 12a Combine like terms: -12a + 12a = 0 -6 + 12a = 114 + 0 -6 + 12a = 114 Add '6' to each side of the equation. -6 + 6 + 12a = 114 + 6 Combine like terms: -6 + 6 = 0 0 + 12a = 114 + 6 12a = 114 + 6 Combine like terms: 114 + 6 = 120 12a = 120 Divide each side by '12'. a = 10 Simplifying a = 10
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