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Simplifying -3[k + 5] = 3[k + -1] Reorder the terms: -3[5 + k] = 3[k + -1] [5 * -3 + k * -3] = 3[k + -1] [-15 + -3k] = 3[k + -1] Reorder the terms: -15 + -3k = 3[-1 + k] -15 + -3k = [-1 * 3 + k * 3] -15 + -3k = [-3 + 3k] Solving -15 + -3k = -3 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -15 + -3k + -3k = -3 + 3k + -3k Combine like terms: -3k + -3k = -6k -15 + -6k = -3 + 3k + -3k Combine like terms: 3k + -3k = 0 -15 + -6k = -3 + 0 -15 + -6k = -3 Add '15' to each side of the equation. -15 + 15 + -6k = -3 + 15 Combine like terms: -15 + 15 = 0 0 + -6k = -3 + 15 -6k = -3 + 15 Combine like terms: -3 + 15 = 12 -6k = 12 Divide each side by '-6'. k = -2 Simplifying k = -2
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