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Simplifying -10 + k + 3 + -7k = 4k + -2 + -5k Reorder the terms: -10 + 3 + k + -7k = 4k + -2 + -5k Combine like terms: -10 + 3 = -7 -7 + k + -7k = 4k + -2 + -5k Combine like terms: k + -7k = -6k -7 + -6k = 4k + -2 + -5k Reorder the terms: -7 + -6k = -2 + 4k + -5k Combine like terms: 4k + -5k = -1k -7 + -6k = -2 + -1k Solving -7 + -6k = -2 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -7 + -6k + k = -2 + -1k + k Combine like terms: -6k + k = -5k -7 + -5k = -2 + -1k + k Combine like terms: -1k + k = 0 -7 + -5k = -2 + 0 -7 + -5k = -2 Add '7' to each side of the equation. -7 + 7 + -5k = -2 + 7 Combine like terms: -7 + 7 = 0 0 + -5k = -2 + 7 -5k = -2 + 7 Combine like terms: -2 + 7 = 5 -5k = 5 Divide each side by '-5'. k = -1 Simplifying k = -1
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