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Simplifying -4(k + -2) + -9 = -3k + -17 Reorder the terms: -4(-2 + k) + -9 = -3k + -17 (-2 * -4 + k * -4) + -9 = -3k + -17 (8 + -4k) + -9 = -3k + -17 Reorder the terms: 8 + -9 + -4k = -3k + -17 Combine like terms: 8 + -9 = -1 -1 + -4k = -3k + -17 Reorder the terms: -1 + -4k = -17 + -3k Solving -1 + -4k = -17 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -1 + -4k + 3k = -17 + -3k + 3k Combine like terms: -4k + 3k = -1k -1 + -1k = -17 + -3k + 3k Combine like terms: -3k + 3k = 0 -1 + -1k = -17 + 0 -1 + -1k = -17 Add '1' to each side of the equation. -1 + 1 + -1k = -17 + 1 Combine like terms: -1 + 1 = 0 0 + -1k = -17 + 1 -1k = -17 + 1 Combine like terms: -17 + 1 = -16 -1k = -16 Divide each side by '-1'. k = 16 Simplifying k = 16
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