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Simplifying -3 + 5(1 + 5k) = -27 + 6k -3 + (1 * 5 + 5k * 5) = -27 + 6k -3 + (5 + 25k) = -27 + 6k Combine like terms: -3 + 5 = 2 2 + 25k = -27 + 6k Solving 2 + 25k = -27 + 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. 2 + 25k + -6k = -27 + 6k + -6k Combine like terms: 25k + -6k = 19k 2 + 19k = -27 + 6k + -6k Combine like terms: 6k + -6k = 0 2 + 19k = -27 + 0 2 + 19k = -27 Add '-2' to each side of the equation. 2 + -2 + 19k = -27 + -2 Combine like terms: 2 + -2 = 0 0 + 19k = -27 + -2 19k = -27 + -2 Combine like terms: -27 + -2 = -29 19k = -29 Divide each side by '19'. k = -1.526315789 Simplifying k = -1.526315789
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