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Simplifying 7 = -1(2 + 7k) + -3k 7 = (2 * -1 + 7k * -1) + -3k 7 = (-2 + -7k) + -3k Combine like terms: -7k + -3k = -10k 7 = -2 + -10k Solving 7 = -2 + -10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10k' to each side of the equation. 7 + 10k = -2 + -10k + 10k Combine like terms: -10k + 10k = 0 7 + 10k = -2 + 0 7 + 10k = -2 Add '-7' to each side of the equation. 7 + -7 + 10k = -2 + -7 Combine like terms: 7 + -7 = 0 0 + 10k = -2 + -7 10k = -2 + -7 Combine like terms: -2 + -7 = -9 10k = -9 Divide each side by '10'. k = -0.9 Simplifying k = -0.9
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