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Simplifying 2[k + -94k + 140 + 4] = 2(k + 1) Reorder the terms: 2[140 + 4 + k + -94k] = 2(k + 1) Combine like terms: 140 + 4 = 144 2[144 + k + -94k] = 2(k + 1) Combine like terms: k + -94k = -93k 2[144 + -93k] = 2(k + 1) [144 * 2 + -93k * 2] = 2(k + 1) [288 + -186k] = 2(k + 1) Reorder the terms: 288 + -186k = 2(1 + k) 288 + -186k = (1 * 2 + k * 2) 288 + -186k = (2 + 2k) Solving 288 + -186k = 2 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 288 + -186k + -2k = 2 + 2k + -2k Combine like terms: -186k + -2k = -188k 288 + -188k = 2 + 2k + -2k Combine like terms: 2k + -2k = 0 288 + -188k = 2 + 0 288 + -188k = 2 Add '-288' to each side of the equation. 288 + -288 + -188k = 2 + -288 Combine like terms: 288 + -288 = 0 0 + -188k = 2 + -288 -188k = 2 + -288 Combine like terms: 2 + -288 = -286 -188k = -286 Divide each side by '-188'. k = 1.521276596 Simplifying k = 1.521276596
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