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Simplifying -7(k + 8) + -1(2 + 3k) = -11k Reorder the terms: -7(8 + k) + -1(2 + 3k) = -11k (8 * -7 + k * -7) + -1(2 + 3k) = -11k (-56 + -7k) + -1(2 + 3k) = -11k -56 + -7k + (2 * -1 + 3k * -1) = -11k -56 + -7k + (-2 + -3k) = -11k Reorder the terms: -56 + -2 + -7k + -3k = -11k Combine like terms: -56 + -2 = -58 -58 + -7k + -3k = -11k Combine like terms: -7k + -3k = -10k -58 + -10k = -11k Solving -58 + -10k = -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. -58 + -10k + 11k = -11k + 11k Combine like terms: -10k + 11k = 1k -58 + 1k = -11k + 11k Combine like terms: -11k + 11k = 0 -58 + 1k = 0 Add '58' to each side of the equation. -58 + 58 + 1k = 0 + 58 Combine like terms: -58 + 58 = 0 0 + 1k = 0 + 58 1k = 0 + 58 Combine like terms: 0 + 58 = 58 1k = 58 Divide each side by '1'. k = 58 Simplifying k = 58
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