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Simplifying 13 + 13k = -15 + 14k + 8 Reorder the terms: 13 + 13k = -15 + 8 + 14k Combine like terms: -15 + 8 = -7 13 + 13k = -7 + 14k Solving 13 + 13k = -7 + 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. 13 + 13k + -14k = -7 + 14k + -14k Combine like terms: 13k + -14k = -1k 13 + -1k = -7 + 14k + -14k Combine like terms: 14k + -14k = 0 13 + -1k = -7 + 0 13 + -1k = -7 Add '-13' to each side of the equation. 13 + -13 + -1k = -7 + -13 Combine like terms: 13 + -13 = 0 0 + -1k = -7 + -13 -1k = -7 + -13 Combine like terms: -7 + -13 = -20 -1k = -20 Divide each side by '-1'. k = 20 Simplifying k = 20
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