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Simplifying 2k(8 + -7) + -4k = k + 9 Combine like terms: 8 + -7 = 1 2k(1) + -4k = k + 9 Reorder the terms for easier multiplication: 2 * 1k + -4k = k + 9 Multiply 2 * 1 2k + -4k = k + 9 Combine like terms: 2k + -4k = -2k -2k = k + 9 Reorder the terms: -2k = 9 + k Solving -2k = 9 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -2k + -1k = 9 + k + -1k Combine like terms: -2k + -1k = -3k -3k = 9 + k + -1k Combine like terms: k + -1k = 0 -3k = 9 + 0 -3k = 9 Divide each side by '-3'. k = -3 Simplifying k = -3
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