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Simplifying 3(4) + 6k + -20 = k(4) + -1k + 1 Multiply 3 * 4 12 + 6k + -20 = k(4) + -1k + 1 Reorder the terms: 12 + -20 + 6k = k(4) + -1k + 1 Combine like terms: 12 + -20 = -8 -8 + 6k = k(4) + -1k + 1 Reorder the terms for easier multiplication: -8 + 6k = 4k + -1k + 1 Reorder the terms: -8 + 6k = 1 + 4k + -1k Combine like terms: 4k + -1k = 3k -8 + 6k = 1 + 3k Solving -8 + 6k = 1 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -8 + 6k + -3k = 1 + 3k + -3k Combine like terms: 6k + -3k = 3k -8 + 3k = 1 + 3k + -3k Combine like terms: 3k + -3k = 0 -8 + 3k = 1 + 0 -8 + 3k = 1 Add '8' to each side of the equation. -8 + 8 + 3k = 1 + 8 Combine like terms: -8 + 8 = 0 0 + 3k = 1 + 8 3k = 1 + 8 Combine like terms: 1 + 8 = 9 3k = 9 Divide each side by '3'. k = 3 Simplifying k = 3
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