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Simplifying -2k + 7 = 12 + -13k Reorder the terms: 7 + -2k = 12 + -13k Solving 7 + -2k = 12 + -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. 7 + -2k + 13k = 12 + -13k + 13k Combine like terms: -2k + 13k = 11k 7 + 11k = 12 + -13k + 13k Combine like terms: -13k + 13k = 0 7 + 11k = 12 + 0 7 + 11k = 12 Add '-7' to each side of the equation. 7 + -7 + 11k = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 11k = 12 + -7 11k = 12 + -7 Combine like terms: 12 + -7 = 5 11k = 5 Divide each side by '11'. k = 0.4545454545 Simplifying k = 0.4545454545
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