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Simplifying 16 + -7k = 1 + -2k Solving 16 + -7k = 1 + -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. 16 + -7k + 2k = 1 + -2k + 2k Combine like terms: -7k + 2k = -5k 16 + -5k = 1 + -2k + 2k Combine like terms: -2k + 2k = 0 16 + -5k = 1 + 0 16 + -5k = 1 Add '-16' to each side of the equation. 16 + -16 + -5k = 1 + -16 Combine like terms: 16 + -16 = 0 0 + -5k = 1 + -16 -5k = 1 + -16 Combine like terms: 1 + -16 = -15 -5k = -15 Divide each side by '-5'. k = 3 Simplifying k = 3
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