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Simplifying 2(4k + -12) + 3k = 6k + 1 Reorder the terms: 2(-12 + 4k) + 3k = 6k + 1 (-12 * 2 + 4k * 2) + 3k = 6k + 1 (-24 + 8k) + 3k = 6k + 1 Combine like terms: 8k + 3k = 11k -24 + 11k = 6k + 1 Reorder the terms: -24 + 11k = 1 + 6k Solving -24 + 11k = 1 + 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. -24 + 11k + -6k = 1 + 6k + -6k Combine like terms: 11k + -6k = 5k -24 + 5k = 1 + 6k + -6k Combine like terms: 6k + -6k = 0 -24 + 5k = 1 + 0 -24 + 5k = 1 Add '24' to each side of the equation. -24 + 24 + 5k = 1 + 24 Combine like terms: -24 + 24 = 0 0 + 5k = 1 + 24 5k = 1 + 24 Combine like terms: 1 + 24 = 25 5k = 25 Divide each side by '5'. k = 5 Simplifying k = 5
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