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Simplifying -15k + 11k + -10 = -6k + 20 Reorder the terms: -10 + -15k + 11k = -6k + 20 Combine like terms: -15k + 11k = -4k -10 + -4k = -6k + 20 Reorder the terms: -10 + -4k = 20 + -6k Solving -10 + -4k = 20 + -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. -10 + -4k + 6k = 20 + -6k + 6k Combine like terms: -4k + 6k = 2k -10 + 2k = 20 + -6k + 6k Combine like terms: -6k + 6k = 0 -10 + 2k = 20 + 0 -10 + 2k = 20 Add '10' to each side of the equation. -10 + 10 + 2k = 20 + 10 Combine like terms: -10 + 10 = 0 0 + 2k = 20 + 10 2k = 20 + 10 Combine like terms: 20 + 10 = 30 2k = 30 Divide each side by '2'. k = 15 Simplifying k = 15
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