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Simplifying 7 + -3k = 2k + -13 Reorder the terms: 7 + -3k = -13 + 2k Solving 7 + -3k = -13 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 7 + -3k + -2k = -13 + 2k + -2k Combine like terms: -3k + -2k = -5k 7 + -5k = -13 + 2k + -2k Combine like terms: 2k + -2k = 0 7 + -5k = -13 + 0 7 + -5k = -13 Add '-7' to each side of the equation. 7 + -7 + -5k = -13 + -7 Combine like terms: 7 + -7 = 0 0 + -5k = -13 + -7 -5k = -13 + -7 Combine like terms: -13 + -7 = -20 -5k = -20 Divide each side by '-5'. k = 4 Simplifying k = 4
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