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Simplifying -5 + -6(-5k + -4) = 49 Reorder the terms: -5 + -6(-4 + -5k) = 49 -5 + (-4 * -6 + -5k * -6) = 49 -5 + (24 + 30k) = 49 Combine like terms: -5 + 24 = 19 19 + 30k = 49 Solving 19 + 30k = 49 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 30k = 49 + -19 Combine like terms: 19 + -19 = 0 0 + 30k = 49 + -19 30k = 49 + -19 Combine like terms: 49 + -19 = 30 30k = 30 Divide each side by '30'. k = 1 Simplifying k = 1
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