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Simplifying -5(k + 2) + 4 = -4k + -17 Reorder the terms: -5(2 + k) + 4 = -4k + -17 (2 * -5 + k * -5) + 4 = -4k + -17 (-10 + -5k) + 4 = -4k + -17 Reorder the terms: -10 + 4 + -5k = -4k + -17 Combine like terms: -10 + 4 = -6 -6 + -5k = -4k + -17 Reorder the terms: -6 + -5k = -17 + -4k Solving -6 + -5k = -17 + -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. -6 + -5k + 4k = -17 + -4k + 4k Combine like terms: -5k + 4k = -1k -6 + -1k = -17 + -4k + 4k Combine like terms: -4k + 4k = 0 -6 + -1k = -17 + 0 -6 + -1k = -17 Add '6' to each side of the equation. -6 + 6 + -1k = -17 + 6 Combine like terms: -6 + 6 = 0 0 + -1k = -17 + 6 -1k = -17 + 6 Combine like terms: -17 + 6 = -11 -1k = -11 Divide each side by '-1'. k = 11 Simplifying k = 11
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