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Simplifying 94 = 7(8k + -2) + -2k Reorder the terms: 94 = 7(-2 + 8k) + -2k 94 = (-2 * 7 + 8k * 7) + -2k 94 = (-14 + 56k) + -2k Combine like terms: 56k + -2k = 54k 94 = -14 + 54k Solving 94 = -14 + 54k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-54k' to each side of the equation. 94 + -54k = -14 + 54k + -54k Combine like terms: 54k + -54k = 0 94 + -54k = -14 + 0 94 + -54k = -14 Add '-94' to each side of the equation. 94 + -94 + -54k = -14 + -94 Combine like terms: 94 + -94 = 0 0 + -54k = -14 + -94 -54k = -14 + -94 Combine like terms: -14 + -94 = -108 -54k = -108 Divide each side by '-54'. k = 2 Simplifying k = 2
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