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Simplifying -7k + -2 = 8k + 7 Reorder the terms: -2 + -7k = 8k + 7 Reorder the terms: -2 + -7k = 7 + 8k Solving -2 + -7k = 7 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. -2 + -7k + -8k = 7 + 8k + -8k Combine like terms: -7k + -8k = -15k -2 + -15k = 7 + 8k + -8k Combine like terms: 8k + -8k = 0 -2 + -15k = 7 + 0 -2 + -15k = 7 Add '2' to each side of the equation. -2 + 2 + -15k = 7 + 2 Combine like terms: -2 + 2 = 0 0 + -15k = 7 + 2 -15k = 7 + 2 Combine like terms: 7 + 2 = 9 -15k = 9 Divide each side by '-15'. k = -0.6 Simplifying k = -0.6
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