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Simplifying 2(k + -49) = 52 Reorder the terms: 2(-49 + k) = 52 (-49 * 2 + k * 2) = 52 (-98 + 2k) = 52 Solving -98 + 2k = 52 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '98' to each side of the equation. -98 + 98 + 2k = 52 + 98 Combine like terms: -98 + 98 = 0 0 + 2k = 52 + 98 2k = 52 + 98 Combine like terms: 52 + 98 = 150 2k = 150 Divide each side by '2'. k = 75 Simplifying k = 75
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