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Simplifying 6k + -7(k + -3) = -15 Reorder the terms: 6k + -7(-3 + k) = -15 6k + (-3 * -7 + k * -7) = -15 6k + (21 + -7k) = -15 Reorder the terms: 21 + 6k + -7k = -15 Combine like terms: 6k + -7k = -1k 21 + -1k = -15 Solving 21 + -1k = -15 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -1k = -15 + -21 Combine like terms: 21 + -21 = 0 0 + -1k = -15 + -21 -1k = -15 + -21 Combine like terms: -15 + -21 = -36 -1k = -36 Divide each side by '-1'. k = 36 Simplifying k = 36
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