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Simplifying 7 + -2k = 8 + 3k Solving 7 + -2k = 8 + 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. 7 + -2k + -3k = 8 + 3k + -3k Combine like terms: -2k + -3k = -5k 7 + -5k = 8 + 3k + -3k Combine like terms: 3k + -3k = 0 7 + -5k = 8 + 0 7 + -5k = 8 Add '-7' to each side of the equation. 7 + -7 + -5k = 8 + -7 Combine like terms: 7 + -7 = 0 0 + -5k = 8 + -7 -5k = 8 + -7 Combine like terms: 8 + -7 = 1 -5k = 1 Divide each side by '-5'. k = -0.2 Simplifying k = -0.2
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