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Simplifying 3(k + -5) = -3(k + 9) Reorder the terms: 3(-5 + k) = -3(k + 9) (-5 * 3 + k * 3) = -3(k + 9) (-15 + 3k) = -3(k + 9) Reorder the terms: -15 + 3k = -3(9 + k) -15 + 3k = (9 * -3 + k * -3) -15 + 3k = (-27 + -3k) Solving -15 + 3k = -27 + -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 = -27 + -3k + 3k Combine like terms: 3k + 3k = 6k -15 + 6k = -27 + -3k + 3k Combine like terms: -3k + 3k = 0 -15 + 6k = -27 + 0 -15 + 6k = -27 Add '15' to each side of the equation. -15 + 15 + 6k = -27 + 15 Combine like terms: -15 + 15 = 0 0 + 6k = -27 + 15 6k = -27 + 15 Combine like terms: -27 + 15 = -12 6k = -12 Divide each side by '6'. k = -2 Simplifying k = -2
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