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