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Simplifying 15 = -7k + -1(9k + -3) Reorder the terms: 15 = -7k + -1(-3 + 9k) 15 = -7k + (-3 * -1 + 9k * -1) 15 = -7k + (3 + -9k) Reorder the terms: 15 = 3 + -7k + -9k Combine like terms: -7k + -9k = -16k 15 = 3 + -16k Solving 15 = 3 + -16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '16k' to each side of the equation. 15 + 16k = 3 + -16k + 16k Combine like terms: -16k + 16k = 0 15 + 16k = 3 + 0 15 + 16k = 3 Add '-15' to each side of the equation. 15 + -15 + 16k = 3 + -15 Combine like terms: 15 + -15 = 0 0 + 16k = 3 + -15 16k = 3 + -15 Combine like terms: 3 + -15 = -12 16k = -12 Divide each side by '16'. k = -0.75 Simplifying k = -0.75
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