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Simplifying -40 + 4k = k + -5k Combine like terms: k + -5k = -4k -40 + 4k = -4k Solving -40 + 4k = -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. -40 + 4k + 4k = -4k + 4k Combine like terms: 4k + 4k = 8k -40 + 8k = -4k + 4k Combine like terms: -4k + 4k = 0 -40 + 8k = 0 Add '40' to each side of the equation. -40 + 40 + 8k = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 8k = 0 + 40 8k = 0 + 40 Combine like terms: 0 + 40 = 40 8k = 40 Divide each side by '8'. k = 5 Simplifying k = 5
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