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Simplifying 112 = -8a + -2(5a + -2) Reorder the terms: 112 = -8a + -2(-2 + 5a) 112 = -8a + (-2 * -2 + 5a * -2) 112 = -8a + (4 + -10a) Reorder the terms: 112 = 4 + -8a + -10a Combine like terms: -8a + -10a = -18a 112 = 4 + -18a Solving 112 = 4 + -18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '18a' to each side of the equation. 112 + 18a = 4 + -18a + 18a Combine like terms: -18a + 18a = 0 112 + 18a = 4 + 0 112 + 18a = 4 Add '-112' to each side of the equation. 112 + -112 + 18a = 4 + -112 Combine like terms: 112 + -112 = 0 0 + 18a = 4 + -112 18a = 4 + -112 Combine like terms: 4 + -112 = -108 18a = -108 Divide each side by '18'. a = -6 Simplifying a = -6
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