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Simplifying -83 = 7 + -6(3a + -6) Reorder the terms: -83 = 7 + -6(-6 + 3a) -83 = 7 + (-6 * -6 + 3a * -6) -83 = 7 + (36 + -18a) Combine like terms: 7 + 36 = 43 -83 = 43 + -18a Solving -83 = 43 + -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. -83 + 18a = 43 + -18a + 18a Combine like terms: -18a + 18a = 0 -83 + 18a = 43 + 0 -83 + 18a = 43 Add '83' to each side of the equation. -83 + 83 + 18a = 43 + 83 Combine like terms: -83 + 83 = 0 0 + 18a = 43 + 83 18a = 43 + 83 Combine like terms: 43 + 83 = 126 18a = 126 Divide each side by '18'. a = 7 Simplifying a = 7
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