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Simplifying 1 + -6(-8k + -2) = 109 Reorder the terms: 1 + -6(-2 + -8k) = 109 1 + (-2 * -6 + -8k * -6) = 109 1 + (12 + 48k) = 109 Combine like terms: 1 + 12 = 13 13 + 48k = 109 Solving 13 + 48k = 109 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 48k = 109 + -13 Combine like terms: 13 + -13 = 0 0 + 48k = 109 + -13 48k = 109 + -13 Combine like terms: 109 + -13 = 96 48k = 96 Divide each side by '48'. k = 2 Simplifying k = 2
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