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Simplifying 7 = 1 + -6(6k + -1) Reorder the terms: 7 = 1 + -6(-1 + 6k) 7 = 1 + (-1 * -6 + 6k * -6) 7 = 1 + (6 + -36k) Combine like terms: 1 + 6 = 7 7 = 7 + -36k Add '-7' to each side of the equation. 7 + -7 = 7 + -7 + -36k Combine like terms: 7 + -7 = 0 0 = 7 + -7 + -36k Combine like terms: 7 + -7 = 0 0 = 0 + -36k 0 = -36k Solving 0 = -36k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '36k' to each side of the equation. 0 + 36k = -36k + 36k Remove the zero: 36k = -36k + 36k Combine like terms: -36k + 36k = 0 36k = 0 Divide each side by '36'. k = 0 Simplifying k = 0
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