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Simplifying -4 + 7(4 + -3k) = 39 + -6k -4 + (4 * 7 + -3k * 7) = 39 + -6k -4 + (28 + -21k) = 39 + -6k Combine like terms: -4 + 28 = 24 24 + -21k = 39 + -6k Solving 24 + -21k = 39 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 24 + -21k + 6k = 39 + -6k + 6k Combine like terms: -21k + 6k = -15k 24 + -15k = 39 + -6k + 6k Combine like terms: -6k + 6k = 0 24 + -15k = 39 + 0 24 + -15k = 39 Add '-24' to each side of the equation. 24 + -24 + -15k = 39 + -24 Combine like terms: 24 + -24 = 0 0 + -15k = 39 + -24 -15k = 39 + -24 Combine like terms: 39 + -24 = 15 -15k = 15 Divide each side by '-15'. k = -1 Simplifying k = -1
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