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Simplifying 28 + -1k = 7(5n + -6) + -6 Reorder the terms: 28 + -1k = 7(-6 + 5n) + -6 28 + -1k = (-6 * 7 + 5n * 7) + -6 28 + -1k = (-42 + 35n) + -6 Reorder the terms: 28 + -1k = -42 + -6 + 35n Combine like terms: -42 + -6 = -48 28 + -1k = -48 + 35n Solving 28 + -1k = -48 + 35n Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -1k = -48 + -28 + 35n Combine like terms: 28 + -28 = 0 0 + -1k = -48 + -28 + 35n -1k = -48 + -28 + 35n Combine like terms: -48 + -28 = -76 -1k = -76 + 35n Divide each side by '-1'. k = 76 + -35n Simplifying k = 76 + -35n
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