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Simplifying 2k + 5 = 2(4k + -12) + 41 Reorder the terms: 5 + 2k = 2(4k + -12) + 41 Reorder the terms: 5 + 2k = 2(-12 + 4k) + 41 5 + 2k = (-12 * 2 + 4k * 2) + 41 5 + 2k = (-24 + 8k) + 41 Reorder the terms: 5 + 2k = -24 + 41 + 8k Combine like terms: -24 + 41 = 17 5 + 2k = 17 + 8k Solving 5 + 2k = 17 + 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. 5 + 2k + -8k = 17 + 8k + -8k Combine like terms: 2k + -8k = -6k 5 + -6k = 17 + 8k + -8k Combine like terms: 8k + -8k = 0 5 + -6k = 17 + 0 5 + -6k = 17 Add '-5' to each side of the equation. 5 + -5 + -6k = 17 + -5 Combine like terms: 5 + -5 = 0 0 + -6k = 17 + -5 -6k = 17 + -5 Combine like terms: 17 + -5 = 12 -6k = 12 Divide each side by '-6'. k = -2 Simplifying k = -2
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