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Simplifying 52 = -10 + 2k Solving 52 = -10 + 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. 52 + -2k = -10 + 2k + -2k Combine like terms: 2k + -2k = 0 52 + -2k = -10 + 0 52 + -2k = -10 Add '-52' to each side of the equation. 52 + -52 + -2k = -10 + -52 Combine like terms: 52 + -52 = 0 0 + -2k = -10 + -52 -2k = -10 + -52 Combine like terms: -10 + -52 = -62 -2k = -62 Divide each side by '-2'. k = 31 Simplifying k = 31
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