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Simplifying -5(k + 6) + -1(2k + -1) = -8k Reorder the terms: -5(6 + k) + -1(2k + -1) = -8k (6 * -5 + k * -5) + -1(2k + -1) = -8k (-30 + -5k) + -1(2k + -1) = -8k Reorder the terms: -30 + -5k + -1(-1 + 2k) = -8k -30 + -5k + (-1 * -1 + 2k * -1) = -8k -30 + -5k + (1 + -2k) = -8k Reorder the terms: -30 + 1 + -5k + -2k = -8k Combine like terms: -30 + 1 = -29 -29 + -5k + -2k = -8k Combine like terms: -5k + -2k = -7k -29 + -7k = -8k Solving -29 + -7k = -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. -29 + -7k + 8k = -8k + 8k Combine like terms: -7k + 8k = 1k -29 + 1k = -8k + 8k Combine like terms: -8k + 8k = 0 -29 + 1k = 0 Add '29' to each side of the equation. -29 + 29 + 1k = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 1k = 0 + 29 1k = 0 + 29 Combine like terms: 0 + 29 = 29 1k = 29 Divide each side by '1'. k = 29 Simplifying k = 29
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