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Simplifying -5k + 7 = 3k + 24 Reorder the terms: 7 + -5k = 3k + 24 Reorder the terms: 7 + -5k = 24 + 3k Solving 7 + -5k = 24 + 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 + -5k + -3k = 24 + 3k + -3k Combine like terms: -5k + -3k = -8k 7 + -8k = 24 + 3k + -3k Combine like terms: 3k + -3k = 0 7 + -8k = 24 + 0 7 + -8k = 24 Add '-7' to each side of the equation. 7 + -7 + -8k = 24 + -7 Combine like terms: 7 + -7 = 0 0 + -8k = 24 + -7 -8k = 24 + -7 Combine like terms: 24 + -7 = 17 -8k = 17 Divide each side by '-8'. k = -2.125 Simplifying k = -2.125
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