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Simplifying 8k + -1(4 + 3k) = -1k + -40 8k + (4 * -1 + 3k * -1) = -1k + -40 8k + (-4 + -3k) = -1k + -40 Reorder the terms: -4 + 8k + -3k = -1k + -40 Combine like terms: 8k + -3k = 5k -4 + 5k = -1k + -40 Reorder the terms: -4 + 5k = -40 + -1k Solving -4 + 5k = -40 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -4 + 5k + k = -40 + -1k + k Combine like terms: 5k + k = 6k -4 + 6k = -40 + -1k + k Combine like terms: -1k + k = 0 -4 + 6k = -40 + 0 -4 + 6k = -40 Add '4' to each side of the equation. -4 + 4 + 6k = -40 + 4 Combine like terms: -4 + 4 = 0 0 + 6k = -40 + 4 6k = -40 + 4 Combine like terms: -40 + 4 = -36 6k = -36 Divide each side by '6'. k = -6 Simplifying k = -6
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