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Simplifying 3k + 13 = 5k + 7 Reorder the terms: 13 + 3k = 5k + 7 Reorder the terms: 13 + 3k = 7 + 5k Solving 13 + 3k = 7 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 13 + 3k + -5k = 7 + 5k + -5k Combine like terms: 3k + -5k = -2k 13 + -2k = 7 + 5k + -5k Combine like terms: 5k + -5k = 0 13 + -2k = 7 + 0 13 + -2k = 7 Add '-13' to each side of the equation. 13 + -13 + -2k = 7 + -13 Combine like terms: 13 + -13 = 0 0 + -2k = 7 + -13 -2k = 7 + -13 Combine like terms: 7 + -13 = -6 -2k = -6 Divide each side by '-2'. k = 3 Simplifying k = 3
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