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Simplifying 1 + -12 + 5k = 15 + -4k Combine like terms: 1 + -12 = -11 -11 + 5k = 15 + -4k Solving -11 + 5k = 15 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. -11 + 5k + 4k = 15 + -4k + 4k Combine like terms: 5k + 4k = 9k -11 + 9k = 15 + -4k + 4k Combine like terms: -4k + 4k = 0 -11 + 9k = 15 + 0 -11 + 9k = 15 Add '11' to each side of the equation. -11 + 11 + 9k = 15 + 11 Combine like terms: -11 + 11 = 0 0 + 9k = 15 + 11 9k = 15 + 11 Combine like terms: 15 + 11 = 26 9k = 26 Divide each side by '9'. k = 2.888888889 Simplifying k = 2.888888889
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