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Simplifying -3 + -5(-1 + 6k) = 2 + -1k -3 + (-1 * -5 + 6k * -5) = 2 + -1k -3 + (5 + -30k) = 2 + -1k Combine like terms: -3 + 5 = 2 2 + -30k = 2 + -1k Add '-2' to each side of the equation. 2 + -2 + -30k = 2 + -2 + -1k Combine like terms: 2 + -2 = 0 0 + -30k = 2 + -2 + -1k -30k = 2 + -2 + -1k Combine like terms: 2 + -2 = 0 -30k = 0 + -1k -30k = -1k Solving -30k = -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -30k + k = -1k + k Combine like terms: -30k + k = -29k -29k = -1k + k Combine like terms: -1k + k = 0 -29k = 0 Divide each side by '-29'. k = 0 Simplifying k = 0
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