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Simplifying 10 + -5k = 11 + -3k Solving 10 + -5k = 11 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 10 + -5k + 3k = 11 + -3k + 3k Combine like terms: -5k + 3k = -2k 10 + -2k = 11 + -3k + 3k Combine like terms: -3k + 3k = 0 10 + -2k = 11 + 0 10 + -2k = 11 Add '-10' to each side of the equation. 10 + -10 + -2k = 11 + -10 Combine like terms: 10 + -10 = 0 0 + -2k = 11 + -10 -2k = 11 + -10 Combine like terms: 11 + -10 = 1 -2k = 1 Divide each side by '-2'. k = -0.5 Simplifying k = -0.5
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