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Simplifying 5k + -13 = 2k + 2 Reorder the terms: -13 + 5k = 2k + 2 Reorder the terms: -13 + 5k = 2 + 2k Solving -13 + 5k = 2 + 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. -13 + 5k + -2k = 2 + 2k + -2k Combine like terms: 5k + -2k = 3k -13 + 3k = 2 + 2k + -2k Combine like terms: 2k + -2k = 0 -13 + 3k = 2 + 0 -13 + 3k = 2 Add '13' to each side of the equation. -13 + 13 + 3k = 2 + 13 Combine like terms: -13 + 13 = 0 0 + 3k = 2 + 13 3k = 2 + 13 Combine like terms: 2 + 13 = 15 3k = 15 Divide each side by '3'. k = 5 Simplifying k = 5
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