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Simplifying 10k + -2 = -4k + 40 Reorder the terms: -2 + 10k = -4k + 40 Reorder the terms: -2 + 10k = 40 + -4k Solving -2 + 10k = 40 + -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. -2 + 10k + 4k = 40 + -4k + 4k Combine like terms: 10k + 4k = 14k -2 + 14k = 40 + -4k + 4k Combine like terms: -4k + 4k = 0 -2 + 14k = 40 + 0 -2 + 14k = 40 Add '2' to each side of the equation. -2 + 2 + 14k = 40 + 2 Combine like terms: -2 + 2 = 0 0 + 14k = 40 + 2 14k = 40 + 2 Combine like terms: 40 + 2 = 42 14k = 42 Divide each side by '14'. k = 3 Simplifying k = 3
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