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Simplifying 11 + -3k = -4(k + -1) Reorder the terms: 11 + -3k = -4(-1 + k) 11 + -3k = (-1 * -4 + k * -4) 11 + -3k = (4 + -4k) Solving 11 + -3k = 4 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 11 + -3k + 4k = 4 + -4k + 4k Combine like terms: -3k + 4k = 1k 11 + 1k = 4 + -4k + 4k Combine like terms: -4k + 4k = 0 11 + 1k = 4 + 0 11 + 1k = 4 Add '-11' to each side of the equation. 11 + -11 + 1k = 4 + -11 Combine like terms: 11 + -11 = 0 0 + 1k = 4 + -11 1k = 4 + -11 Combine like terms: 4 + -11 = -7 1k = -7 Divide each side by '1'. k = -7 Simplifying k = -7
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