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Simplifying -5(k + 1) + 4 = -4k + -11 Reorder the terms: -5(1 + k) + 4 = -4k + -11 (1 * -5 + k * -5) + 4 = -4k + -11 (-5 + -5k) + 4 = -4k + -11 Reorder the terms: -5 + 4 + -5k = -4k + -11 Combine like terms: -5 + 4 = -1 -1 + -5k = -4k + -11 Reorder the terms: -1 + -5k = -11 + -4k Solving -1 + -5k = -11 + -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. -1 + -5k + 4k = -11 + -4k + 4k Combine like terms: -5k + 4k = -1k -1 + -1k = -11 + -4k + 4k Combine like terms: -4k + 4k = 0 -1 + -1k = -11 + 0 -1 + -1k = -11 Add '1' to each side of the equation. -1 + 1 + -1k = -11 + 1 Combine like terms: -1 + 1 = 0 0 + -1k = -11 + 1 -1k = -11 + 1 Combine like terms: -11 + 1 = -10 -1k = -10 Divide each side by '-1'. k = 10 Simplifying k = 10
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