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Simplifying -231 = 7(3 + 6a) -231 = (3 * 7 + 6a * 7) -231 = (21 + 42a) Solving -231 = 21 + 42a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-42a' to each side of the equation. -231 + -42a = 21 + 42a + -42a Combine like terms: 42a + -42a = 0 -231 + -42a = 21 + 0 -231 + -42a = 21 Add '231' to each side of the equation. -231 + 231 + -42a = 21 + 231 Combine like terms: -231 + 231 = 0 0 + -42a = 21 + 231 -42a = 21 + 231 Combine like terms: 21 + 231 = 252 -42a = 252 Divide each side by '-42'. a = -6 Simplifying a = -6
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