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Simplifying 5(1 + 5k) = -33 + 6k (1 * 5 + 5k * 5) = -33 + 6k (5 + 25k) = -33 + 6k Solving 5 + 25k = -33 + 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. 5 + 25k + -6k = -33 + 6k + -6k Combine like terms: 25k + -6k = 19k 5 + 19k = -33 + 6k + -6k Combine like terms: 6k + -6k = 0 5 + 19k = -33 + 0 5 + 19k = -33 Add '-5' to each side of the equation. 5 + -5 + 19k = -33 + -5 Combine like terms: 5 + -5 = 0 0 + 19k = -33 + -5 19k = -33 + -5 Combine like terms: -33 + -5 = -38 19k = -38 Divide each side by '19'. k = -2 Simplifying k = -2
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