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Simplifying 6 = (10k + 7) Reorder the terms: 6 = (7 + 10k) Remove parenthesis around (7 + 10k) 6 = 7 + 10k Solving 6 = 7 + 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. 6 + -10k = 7 + 10k + -10k Combine like terms: 10k + -10k = 0 6 + -10k = 7 + 0 6 + -10k = 7 Add '-6' to each side of the equation. 6 + -6 + -10k = 7 + -6 Combine like terms: 6 + -6 = 0 0 + -10k = 7 + -6 -10k = 7 + -6 Combine like terms: 7 + -6 = 1 -10k = 1 Divide each side by '-10'. k = -0.1 Simplifying k = -0.1
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