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Simplifying -4k + 3 = -21 + 2k Reorder the terms: 3 + -4k = -21 + 2k Solving 3 + -4k = -21 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 3 + -4k + -2k = -21 + 2k + -2k Combine like terms: -4k + -2k = -6k 3 + -6k = -21 + 2k + -2k Combine like terms: 2k + -2k = 0 3 + -6k = -21 + 0 3 + -6k = -21 Add '-3' to each side of the equation. 3 + -3 + -6k = -21 + -3 Combine like terms: 3 + -3 = 0 0 + -6k = -21 + -3 -6k = -21 + -3 Combine like terms: -21 + -3 = -24 -6k = -24 Divide each side by '-6'. k = 4 Simplifying k = 4
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