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Simplifying -8k + 6 = 1 + -1(6k + 5) Reorder the terms: 6 + -8k = 1 + -1(6k + 5) Reorder the terms: 6 + -8k = 1 + -1(5 + 6k) 6 + -8k = 1 + (5 * -1 + 6k * -1) 6 + -8k = 1 + (-5 + -6k) Combine like terms: 1 + -5 = -4 6 + -8k = -4 + -6k Solving 6 + -8k = -4 + -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. 6 + -8k + 6k = -4 + -6k + 6k Combine like terms: -8k + 6k = -2k 6 + -2k = -4 + -6k + 6k Combine like terms: -6k + 6k = 0 6 + -2k = -4 + 0 6 + -2k = -4 Add '-6' to each side of the equation. 6 + -6 + -2k = -4 + -6 Combine like terms: 6 + -6 = 0 0 + -2k = -4 + -6 -2k = -4 + -6 Combine like terms: -4 + -6 = -10 -2k = -10 Divide each side by '-2'. k = 5 Simplifying k = 5
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