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Simplifying -13k + -16 = -1 + -14k + 5 Reorder the terms: -16 + -13k = -1 + -14k + 5 Reorder the terms: -16 + -13k = -1 + 5 + -14k Combine like terms: -1 + 5 = 4 -16 + -13k = 4 + -14k Solving -16 + -13k = 4 + -14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '14k' to each side of the equation. -16 + -13k + 14k = 4 + -14k + 14k Combine like terms: -13k + 14k = 1k -16 + 1k = 4 + -14k + 14k Combine like terms: -14k + 14k = 0 -16 + 1k = 4 + 0 -16 + 1k = 4 Add '16' to each side of the equation. -16 + 16 + 1k = 4 + 16 Combine like terms: -16 + 16 = 0 0 + 1k = 4 + 16 1k = 4 + 16 Combine like terms: 4 + 16 = 20 1k = 20 Divide each side by '1'. k = 20 Simplifying k = 20
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