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Simplifying -2a + (-6) = 12 + 14a -2a + -6 = 12 + 14a Reorder the terms: -6 + -2a = 12 + 14a Solving -6 + -2a = 12 + 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. -6 + -2a + -14a = 12 + 14a + -14a Combine like terms: -2a + -14a = -16a -6 + -16a = 12 + 14a + -14a Combine like terms: 14a + -14a = 0 -6 + -16a = 12 + 0 -6 + -16a = 12 Add '6' to each side of the equation. -6 + 6 + -16a = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -16a = 12 + 6 -16a = 12 + 6 Combine like terms: 12 + 6 = 18 -16a = 18 Divide each side by '-16'. a = -1.125 Simplifying a = -1.125
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