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Simplifying -16 + -14a + 21 = 23 + -2a Reorder the terms: -16 + 21 + -14a = 23 + -2a Combine like terms: -16 + 21 = 5 5 + -14a = 23 + -2a Solving 5 + -14a = 23 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 5 + -14a + 2a = 23 + -2a + 2a Combine like terms: -14a + 2a = -12a 5 + -12a = 23 + -2a + 2a Combine like terms: -2a + 2a = 0 5 + -12a = 23 + 0 5 + -12a = 23 Add '-5' to each side of the equation. 5 + -5 + -12a = 23 + -5 Combine like terms: 5 + -5 = 0 0 + -12a = 23 + -5 -12a = 23 + -5 Combine like terms: 23 + -5 = 18 -12a = 18 Divide each side by '-12'. a = -1.5 Simplifying a = -1.5
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