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Simplifying 97 = 2(6k + -3) + 7 Reorder the terms: 97 = 2(-3 + 6k) + 7 97 = (-3 * 2 + 6k * 2) + 7 97 = (-6 + 12k) + 7 Reorder the terms: 97 = -6 + 7 + 12k Combine like terms: -6 + 7 = 1 97 = 1 + 12k Solving 97 = 1 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. 97 + -12k = 1 + 12k + -12k Combine like terms: 12k + -12k = 0 97 + -12k = 1 + 0 97 + -12k = 1 Add '-97' to each side of the equation. 97 + -97 + -12k = 1 + -97 Combine like terms: 97 + -97 = 0 0 + -12k = 1 + -97 -12k = 1 + -97 Combine like terms: 1 + -97 = -96 -12k = -96 Divide each side by '-12'. k = 8 Simplifying k = 8
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