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