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Simplifying 18 + k = 13k + -18 Reorder the terms: 18 + k = -18 + 13k Solving 18 + k = -18 + 13k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-13k' to each side of the equation. 18 + k + -13k = -18 + 13k + -13k Combine like terms: k + -13k = -12k 18 + -12k = -18 + 13k + -13k Combine like terms: 13k + -13k = 0 18 + -12k = -18 + 0 18 + -12k = -18 Add '-18' to each side of the equation. 18 + -18 + -12k = -18 + -18 Combine like terms: 18 + -18 = 0 0 + -12k = -18 + -18 -12k = -18 + -18 Combine like terms: -18 + -18 = -36 -12k = -36 Divide each side by '-12'. k = 3 Simplifying k = 3
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