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Simplifying -30 = k + -10 + 11k Reorder the terms: -30 = -10 + k + 11k Combine like terms: k + 11k = 12k -30 = -10 + 12k Solving -30 = -10 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. -30 + -12k = -10 + 12k + -12k Combine like terms: 12k + -12k = 0 -30 + -12k = -10 + 0 -30 + -12k = -10 Add '30' to each side of the equation. -30 + 30 + -12k = -10 + 30 Combine like terms: -30 + 30 = 0 0 + -12k = -10 + 30 -12k = -10 + 30 Combine like terms: -10 + 30 = 20 -12k = 20 Divide each side by '-12'. k = -1.666666667 Simplifying k = -1.666666667
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