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Simplifying -5k + -8 = 2(k + 6) + 1 Reorder the terms: -8 + -5k = 2(k + 6) + 1 Reorder the terms: -8 + -5k = 2(6 + k) + 1 -8 + -5k = (6 * 2 + k * 2) + 1 -8 + -5k = (12 + 2k) + 1 Reorder the terms: -8 + -5k = 12 + 1 + 2k Combine like terms: 12 + 1 = 13 -8 + -5k = 13 + 2k Solving -8 + -5k = 13 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -8 + -5k + -2k = 13 + 2k + -2k Combine like terms: -5k + -2k = -7k -8 + -7k = 13 + 2k + -2k Combine like terms: 2k + -2k = 0 -8 + -7k = 13 + 0 -8 + -7k = 13 Add '8' to each side of the equation. -8 + 8 + -7k = 13 + 8 Combine like terms: -8 + 8 = 0 0 + -7k = 13 + 8 -7k = 13 + 8 Combine like terms: 13 + 8 = 21 -7k = 21 Divide each side by '-7'. k = -3 Simplifying k = -3
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