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Simplifying 10 = 11(k + -7) Reorder the terms: 10 = 11(-7 + k) 10 = (-7 * 11 + k * 11) 10 = (-77 + 11k) Solving 10 = -77 + 11k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-11k' to each side of the equation. 10 + -11k = -77 + 11k + -11k Combine like terms: 11k + -11k = 0 10 + -11k = -77 + 0 10 + -11k = -77 Add '-10' to each side of the equation. 10 + -10 + -11k = -77 + -10 Combine like terms: 10 + -10 = 0 0 + -11k = -77 + -10 -11k = -77 + -10 Combine like terms: -77 + -10 = -87 -11k = -87 Divide each side by '-11'. k = 7.909090909 Simplifying k = 7.909090909
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