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Simplifying 17 + -2k = -4(-2 + -1k) + -3 17 + -2k = (-2 * -4 + -1k * -4) + -3 17 + -2k = (8 + 4k) + -3 Reorder the terms: 17 + -2k = 8 + -3 + 4k Combine like terms: 8 + -3 = 5 17 + -2k = 5 + 4k Solving 17 + -2k = 5 + 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. 17 + -2k + -4k = 5 + 4k + -4k Combine like terms: -2k + -4k = -6k 17 + -6k = 5 + 4k + -4k Combine like terms: 4k + -4k = 0 17 + -6k = 5 + 0 17 + -6k = 5 Add '-17' to each side of the equation. 17 + -17 + -6k = 5 + -17 Combine like terms: 17 + -17 = 0 0 + -6k = 5 + -17 -6k = 5 + -17 Combine like terms: 5 + -17 = -12 -6k = -12 Divide each side by '-6'. k = 2 Simplifying k = 2
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