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Simplifying 4k + -1(-2k) = 16 + 4 + -2k + 10 + -2k Remove parenthesis around (-2k) 4k + -1 * -2k = 16 + 4 + -2k + 10 + -2k Multiply -1 * -2 4k + 2k = 16 + 4 + -2k + 10 + -2k Combine like terms: 4k + 2k = 6k 6k = 16 + 4 + -2k + 10 + -2k Reorder the terms: 6k = 16 + 4 + 10 + -2k + -2k Combine like terms: 16 + 4 = 20 6k = 20 + 10 + -2k + -2k Combine like terms: 20 + 10 = 30 6k = 30 + -2k + -2k Combine like terms: -2k + -2k = -4k 6k = 30 + -4k Solving 6k = 30 + -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. 6k + 4k = 30 + -4k + 4k Combine like terms: 6k + 4k = 10k 10k = 30 + -4k + 4k Combine like terms: -4k + 4k = 0 10k = 30 + 0 10k = 30 Divide each side by '10'. k = 3 Simplifying k = 3
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