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Simplifying -2k + -1(3k + 4) + 5k = 11k + -5 Reorder the terms: -2k + -1(4 + 3k) + 5k = 11k + -5 -2k + (4 * -1 + 3k * -1) + 5k = 11k + -5 -2k + (-4 + -3k) + 5k = 11k + -5 Reorder the terms: -4 + -2k + -3k + 5k = 11k + -5 Combine like terms: -2k + -3k = -5k -4 + -5k + 5k = 11k + -5 Combine like terms: -5k + 5k = 0 -4 + 0 = 11k + -5 -4 = 11k + -5 Reorder the terms: -4 = -5 + 11k Solving -4 = -5 + 11k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-11k' to each side of the equation. -4 + -11k = -5 + 11k + -11k Combine like terms: 11k + -11k = 0 -4 + -11k = -5 + 0 -4 + -11k = -5 Add '4' to each side of the equation. -4 + 4 + -11k = -5 + 4 Combine like terms: -4 + 4 = 0 0 + -11k = -5 + 4 -11k = -5 + 4 Combine like terms: -5 + 4 = -1 -11k = -1 Divide each side by '-11'. k = 0.09090909091 Simplifying k = 0.09090909091
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