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Simplifying 11(k + -1) = (k + -7) Reorder the terms: 11(-1 + k) = (k + -7) (-1 * 11 + k * 11) = (k + -7) (-11 + 11k) = (k + -7) Reorder the terms: -11 + 11k = (-7 + k) Remove parenthesis around (-7 + k) -11 + 11k = -7 + k Solving -11 + 11k = -7 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -11 + 11k + -1k = -7 + k + -1k Combine like terms: 11k + -1k = 10k -11 + 10k = -7 + k + -1k Combine like terms: k + -1k = 0 -11 + 10k = -7 + 0 -11 + 10k = -7 Add '11' to each side of the equation. -11 + 11 + 10k = -7 + 11 Combine like terms: -11 + 11 = 0 0 + 10k = -7 + 11 10k = -7 + 11 Combine like terms: -7 + 11 = 4 10k = 4 Divide each side by '10'. k = 0.4 Simplifying k = 0.4
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