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Simplifying 8k + -7 = 3k + 3 + 7k Reorder the terms: -7 + 8k = 3k + 3 + 7k Reorder the terms: -7 + 8k = 3 + 3k + 7k Combine like terms: 3k + 7k = 10k -7 + 8k = 3 + 10k Solving -7 + 8k = 3 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. -7 + 8k + -10k = 3 + 10k + -10k Combine like terms: 8k + -10k = -2k -7 + -2k = 3 + 10k + -10k Combine like terms: 10k + -10k = 0 -7 + -2k = 3 + 0 -7 + -2k = 3 Add '7' to each side of the equation. -7 + 7 + -2k = 3 + 7 Combine like terms: -7 + 7 = 0 0 + -2k = 3 + 7 -2k = 3 + 7 Combine like terms: 3 + 7 = 10 -2k = 10 Divide each side by '-2'. k = -5 Simplifying k = -5
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