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Simplifying -86 = -2(6a + 1) Reorder the terms: -86 = -2(1 + 6a) -86 = (1 * -2 + 6a * -2) -86 = (-2 + -12a) Solving -86 = -2 + -12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12a' to each side of the equation. -86 + 12a = -2 + -12a + 12a Combine like terms: -12a + 12a = 0 -86 + 12a = -2 + 0 -86 + 12a = -2 Add '86' to each side of the equation. -86 + 86 + 12a = -2 + 86 Combine like terms: -86 + 86 = 0 0 + 12a = -2 + 86 12a = -2 + 86 Combine like terms: -2 + 86 = 84 12a = 84 Divide each side by '12'. a = 7 Simplifying a = 7
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