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Simplifying 3k + 5(-6k + -5) = 6(2 + -5k) + 2 Reorder the terms: 3k + 5(-5 + -6k) = 6(2 + -5k) + 2 3k + (-5 * 5 + -6k * 5) = 6(2 + -5k) + 2 3k + (-25 + -30k) = 6(2 + -5k) + 2 Reorder the terms: -25 + 3k + -30k = 6(2 + -5k) + 2 Combine like terms: 3k + -30k = -27k -25 + -27k = 6(2 + -5k) + 2 -25 + -27k = (2 * 6 + -5k * 6) + 2 -25 + -27k = (12 + -30k) + 2 Reorder the terms: -25 + -27k = 12 + 2 + -30k Combine like terms: 12 + 2 = 14 -25 + -27k = 14 + -30k Solving -25 + -27k = 14 + -30k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '30k' to each side of the equation. -25 + -27k + 30k = 14 + -30k + 30k Combine like terms: -27k + 30k = 3k -25 + 3k = 14 + -30k + 30k Combine like terms: -30k + 30k = 0 -25 + 3k = 14 + 0 -25 + 3k = 14 Add '25' to each side of the equation. -25 + 25 + 3k = 14 + 25 Combine like terms: -25 + 25 = 0 0 + 3k = 14 + 25 3k = 14 + 25 Combine like terms: 14 + 25 = 39 3k = 39 Divide each side by '3'. k = 13 Simplifying k = 13
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