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Simplifying 5(1 + -6k) = -3k + 5 (1 * 5 + -6k * 5) = -3k + 5 (5 + -30k) = -3k + 5 Reorder the terms: 5 + -30k = 5 + -3k Add '-5' to each side of the equation. 5 + -5 + -30k = 5 + -5 + -3k Combine like terms: 5 + -5 = 0 0 + -30k = 5 + -5 + -3k -30k = 5 + -5 + -3k Combine like terms: 5 + -5 = 0 -30k = 0 + -3k -30k = -3k Solving -30k = -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -30k + 3k = -3k + 3k Combine like terms: -30k + 3k = -27k -27k = -3k + 3k Combine like terms: -3k + 3k = 0 -27k = 0 Divide each side by '-27'. k = 0 Simplifying k = 0
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