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Simplifying 8k + -6 = -1(1 + -3k) Reorder the terms: -6 + 8k = -1(1 + -3k) -6 + 8k = (1 * -1 + -3k * -1) -6 + 8k = (-1 + 3k) Solving -6 + 8k = -1 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -6 + 8k + -3k = -1 + 3k + -3k Combine like terms: 8k + -3k = 5k -6 + 5k = -1 + 3k + -3k Combine like terms: 3k + -3k = 0 -6 + 5k = -1 + 0 -6 + 5k = -1 Add '6' to each side of the equation. -6 + 6 + 5k = -1 + 6 Combine like terms: -6 + 6 = 0 0 + 5k = -1 + 6 5k = -1 + 6 Combine like terms: -1 + 6 = 5 5k = 5 Divide each side by '5'. k = 1 Simplifying k = 1
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