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Simplifying 30 + -23 = 6k + -13 Combine like terms: 30 + -23 = 7 7 = 6k + -13 Reorder the terms: 7 = -13 + 6k Solving 7 = -13 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 7 + -6k = -13 + 6k + -6k Combine like terms: 6k + -6k = 0 7 + -6k = -13 + 0 7 + -6k = -13 Add '-7' to each side of the equation. 7 + -7 + -6k = -13 + -7 Combine like terms: 7 + -7 = 0 0 + -6k = -13 + -7 -6k = -13 + -7 Combine like terms: -13 + -7 = -20 -6k = -20 Divide each side by '-6'. k = 3.333333333 Simplifying k = 3.333333333
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