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Simplifying 2(3k + 4) + -5(6 + -1k) = 55 Reorder the terms: 2(4 + 3k) + -5(6 + -1k) = 55 (4 * 2 + 3k * 2) + -5(6 + -1k) = 55 (8 + 6k) + -5(6 + -1k) = 55 8 + 6k + (6 * -5 + -1k * -5) = 55 8 + 6k + (-30 + 5k) = 55 Reorder the terms: 8 + -30 + 6k + 5k = 55 Combine like terms: 8 + -30 = -22 -22 + 6k + 5k = 55 Combine like terms: 6k + 5k = 11k -22 + 11k = 55 Solving -22 + 11k = 55 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 11k = 55 + 22 Combine like terms: -22 + 22 = 0 0 + 11k = 55 + 22 11k = 55 + 22 Combine like terms: 55 + 22 = 77 11k = 77 Divide each side by '11'. k = 7 Simplifying k = 7
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