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Simplifying 3(-4 + 6k) = 11 + -5k (-4 * 3 + 6k * 3) = 11 + -5k (-12 + 18k) = 11 + -5k Solving -12 + 18k = 11 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -12 + 18k + 5k = 11 + -5k + 5k Combine like terms: 18k + 5k = 23k -12 + 23k = 11 + -5k + 5k Combine like terms: -5k + 5k = 0 -12 + 23k = 11 + 0 -12 + 23k = 11 Add '12' to each side of the equation. -12 + 12 + 23k = 11 + 12 Combine like terms: -12 + 12 = 0 0 + 23k = 11 + 12 23k = 11 + 12 Combine like terms: 11 + 12 = 23 23k = 23 Divide each side by '23'. k = 1 Simplifying k = 1
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