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Simplifying -7(k + 3) + -4k = 39 + k Reorder the terms: -7(3 + k) + -4k = 39 + k (3 * -7 + k * -7) + -4k = 39 + k (-21 + -7k) + -4k = 39 + k Combine like terms: -7k + -4k = -11k -21 + -11k = 39 + k Solving -21 + -11k = 39 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -21 + -11k + -1k = 39 + k + -1k Combine like terms: -11k + -1k = -12k -21 + -12k = 39 + k + -1k Combine like terms: k + -1k = 0 -21 + -12k = 39 + 0 -21 + -12k = 39 Add '21' to each side of the equation. -21 + 21 + -12k = 39 + 21 Combine like terms: -21 + 21 = 0 0 + -12k = 39 + 21 -12k = 39 + 21 Combine like terms: 39 + 21 = 60 -12k = 60 Divide each side by '-12'. k = -5 Simplifying k = -5
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