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