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Simplifying -16 + 2k = -3(3 + -3k) -16 + 2k = (3 * -3 + -3k * -3) -16 + 2k = (-9 + 9k) Solving -16 + 2k = -9 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. -16 + 2k + -9k = -9 + 9k + -9k Combine like terms: 2k + -9k = -7k -16 + -7k = -9 + 9k + -9k Combine like terms: 9k + -9k = 0 -16 + -7k = -9 + 0 -16 + -7k = -9 Add '16' to each side of the equation. -16 + 16 + -7k = -9 + 16 Combine like terms: -16 + 16 = 0 0 + -7k = -9 + 16 -7k = -9 + 16 Combine like terms: -9 + 16 = 7 -7k = 7 Divide each side by '-7'. k = -1 Simplifying k = -1
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