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Simplifying 28 = -1(k + -1) + 4(6k + 1) Reorder the terms: 28 = -1(-1 + k) + 4(6k + 1) 28 = (-1 * -1 + k * -1) + 4(6k + 1) 28 = (1 + -1k) + 4(6k + 1) Reorder the terms: 28 = 1 + -1k + 4(1 + 6k) 28 = 1 + -1k + (1 * 4 + 6k * 4) 28 = 1 + -1k + (4 + 24k) Reorder the terms: 28 = 1 + 4 + -1k + 24k Combine like terms: 1 + 4 = 5 28 = 5 + -1k + 24k Combine like terms: -1k + 24k = 23k 28 = 5 + 23k Solving 28 = 5 + 23k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-23k' to each side of the equation. 28 + -23k = 5 + 23k + -23k Combine like terms: 23k + -23k = 0 28 + -23k = 5 + 0 28 + -23k = 5 Add '-28' to each side of the equation. 28 + -28 + -23k = 5 + -28 Combine like terms: 28 + -28 = 0 0 + -23k = 5 + -28 -23k = 5 + -28 Combine like terms: 5 + -28 = -23 -23k = -23 Divide each side by '-23'. k = 1 Simplifying k = 1
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