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Simplifying k + 3 + -4k + 7 = 2k + -5 Reorder the terms: 3 + 7 + k + -4k = 2k + -5 Combine like terms: 3 + 7 = 10 10 + k + -4k = 2k + -5 Combine like terms: k + -4k = -3k 10 + -3k = 2k + -5 Reorder the terms: 10 + -3k = -5 + 2k Solving 10 + -3k = -5 + 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. 10 + -3k + -2k = -5 + 2k + -2k Combine like terms: -3k + -2k = -5k 10 + -5k = -5 + 2k + -2k Combine like terms: 2k + -2k = 0 10 + -5k = -5 + 0 10 + -5k = -5 Add '-10' to each side of the equation. 10 + -10 + -5k = -5 + -10 Combine like terms: 10 + -10 = 0 0 + -5k = -5 + -10 -5k = -5 + -10 Combine like terms: -5 + -10 = -15 -5k = -15 Divide each side by '-5'. k = 3 Simplifying k = 3
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