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Simplifying -40 + -4k = 24 + 6k Solving -40 + -4k = 24 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -40 + -4k + -6k = 24 + 6k + -6k Combine like terms: -4k + -6k = -10k -40 + -10k = 24 + 6k + -6k Combine like terms: 6k + -6k = 0 -40 + -10k = 24 + 0 -40 + -10k = 24 Add '40' to each side of the equation. -40 + 40 + -10k = 24 + 40 Combine like terms: -40 + 40 = 0 0 + -10k = 24 + 40 -10k = 24 + 40 Combine like terms: 24 + 40 = 64 -10k = 64 Divide each side by '-10'. k = -6.4 Simplifying k = -6.4
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