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Simplifying 3k + 7 = 5k + -5 Reorder the terms: 7 + 3k = 5k + -5 Reorder the terms: 7 + 3k = -5 + 5k Solving 7 + 3k = -5 + 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 + 3k + -5k = -5 + 5k + -5k Combine like terms: 3k + -5k = -2k 7 + -2k = -5 + 5k + -5k Combine like terms: 5k + -5k = 0 7 + -2k = -5 + 0 7 + -2k = -5 Add '-7' to each side of the equation. 7 + -7 + -2k = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -2k = -5 + -7 -2k = -5 + -7 Combine like terms: -5 + -7 = -12 -2k = -12 Divide each side by '-2'. k = 6 Simplifying k = 6
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