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Simplifying 7 + -2k = 8 + -5k Solving 7 + -2k = 8 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. 7 + -2k + 5k = 8 + -5k + 5k Combine like terms: -2k + 5k = 3k 7 + 3k = 8 + -5k + 5k Combine like terms: -5k + 5k = 0 7 + 3k = 8 + 0 7 + 3k = 8 Add '-7' to each side of the equation. 7 + -7 + 3k = 8 + -7 Combine like terms: 7 + -7 = 0 0 + 3k = 8 + -7 3k = 8 + -7 Combine like terms: 8 + -7 = 1 3k = 1 Divide each side by '3'. k = 0.3333333333 Simplifying k = 0.3333333333
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