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Simplifying 5 = 12a + -1(3 + -4a) 5 = 12a + (3 * -1 + -4a * -1) 5 = 12a + (-3 + 4a) Reorder the terms: 5 = -3 + 12a + 4a Combine like terms: 12a + 4a = 16a 5 = -3 + 16a Solving 5 = -3 + 16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16a' to each side of the equation. 5 + -16a = -3 + 16a + -16a Combine like terms: 16a + -16a = 0 5 + -16a = -3 + 0 5 + -16a = -3 Add '-5' to each side of the equation. 5 + -5 + -16a = -3 + -5 Combine like terms: 5 + -5 = 0 0 + -16a = -3 + -5 -16a = -3 + -5 Combine like terms: -3 + -5 = -8 -16a = -8 Divide each side by '-16'. a = 0.5 Simplifying a = 0.5
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