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Simplifying 2(k + -13) + -10 = 2 Reorder the terms: 2(-13 + k) + -10 = 2 (-13 * 2 + k * 2) + -10 = 2 (-26 + 2k) + -10 = 2 Reorder the terms: -26 + -10 + 2k = 2 Combine like terms: -26 + -10 = -36 -36 + 2k = 2 Solving -36 + 2k = 2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 2k = 2 + 36 Combine like terms: -36 + 36 = 0 0 + 2k = 2 + 36 2k = 2 + 36 Combine like terms: 2 + 36 = 38 2k = 38 Divide each side by '2'. k = 19 Simplifying k = 19
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