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Simplifying -231 = -7(6a + 3) Reorder the terms: -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 = 210 42a = 210 Divide each side by '42'. a = 5 Simplifying a = 5
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