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Simplifying -3(k + 5) = (k + -1) * 3 Reorder the terms: -3(5 + k) = (k + -1) * 3 (5 * -3 + k * -3) = (k + -1) * 3 (-15 + -3k) = (k + -1) * 3 Reorder the terms: -15 + -3k = (-1 + k) * 3 Reorder the terms for easier multiplication: -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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