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Simplifying -5(k + 1) + 11 = -4k + 15 Reorder the terms: -5(1 + k) + 11 = -4k + 15 (1 * -5 + k * -5) + 11 = -4k + 15 (-5 + -5k) + 11 = -4k + 15 Reorder the terms: -5 + 11 + -5k = -4k + 15 Combine like terms: -5 + 11 = 6 6 + -5k = -4k + 15 Reorder the terms: 6 + -5k = 15 + -4k Solving 6 + -5k = 15 + -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. 6 + -5k + 4k = 15 + -4k + 4k Combine like terms: -5k + 4k = -1k 6 + -1k = 15 + -4k + 4k Combine like terms: -4k + 4k = 0 6 + -1k = 15 + 0 6 + -1k = 15 Add '-6' to each side of the equation. 6 + -6 + -1k = 15 + -6 Combine like terms: 6 + -6 = 0 0 + -1k = 15 + -6 -1k = 15 + -6 Combine like terms: 15 + -6 = 9 -1k = 9 Divide each side by '-1'. k = -9 Simplifying k = -9
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