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Simplifying -86 = 1 + -3(1 + -4a) -86 = 1 + (1 * -3 + -4a * -3) -86 = 1 + (-3 + 12a) Combine like terms: 1 + -3 = -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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