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Simplifying 91 = 7[2k + 7] Reorder the terms: 91 = 7[7 + 2k] 91 = [7 * 7 + 2k * 7] 91 = [49 + 14k] Solving 91 = 49 + 14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14k' to each side of the equation. 91 + -14k = 49 + 14k + -14k Combine like terms: 14k + -14k = 0 91 + -14k = 49 + 0 91 + -14k = 49 Add '-91' to each side of the equation. 91 + -91 + -14k = 49 + -91 Combine like terms: 91 + -91 = 0 0 + -14k = 49 + -91 -14k = 49 + -91 Combine like terms: 49 + -91 = -42 -14k = -42 Divide each side by '-14'. k = 3 Simplifying k = 3
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