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Simplifying 5(k + -3) + -1(8k + -1) = -4k Reorder the terms: 5(-3 + k) + -1(8k + -1) = -4k (-3 * 5 + k * 5) + -1(8k + -1) = -4k (-15 + 5k) + -1(8k + -1) = -4k Reorder the terms: -15 + 5k + -1(-1 + 8k) = -4k -15 + 5k + (-1 * -1 + 8k * -1) = -4k -15 + 5k + (1 + -8k) = -4k Reorder the terms: -15 + 1 + 5k + -8k = -4k Combine like terms: -15 + 1 = -14 -14 + 5k + -8k = -4k Combine like terms: 5k + -8k = -3k -14 + -3k = -4k Solving -14 + -3k = -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. -14 + -3k + 4k = -4k + 4k Combine like terms: -3k + 4k = 1k -14 + 1k = -4k + 4k Combine like terms: -4k + 4k = 0 -14 + 1k = 0 Add '14' to each side of the equation. -14 + 14 + 1k = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 1k = 0 + 14 1k = 0 + 14 Combine like terms: 0 + 14 = 14 1k = 14 Divide each side by '1'. k = 14 Simplifying k = 14
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