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Simplifying 5k + 30 = k + -5 + 12 Reorder the terms: 30 + 5k = k + -5 + 12 Reorder the terms: 30 + 5k = -5 + 12 + k Combine like terms: -5 + 12 = 7 30 + 5k = 7 + k Solving 30 + 5k = 7 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 30 + 5k + -1k = 7 + k + -1k Combine like terms: 5k + -1k = 4k 30 + 4k = 7 + k + -1k Combine like terms: k + -1k = 0 30 + 4k = 7 + 0 30 + 4k = 7 Add '-30' to each side of the equation. 30 + -30 + 4k = 7 + -30 Combine like terms: 30 + -30 = 0 0 + 4k = 7 + -30 4k = 7 + -30 Combine like terms: 7 + -30 = -23 4k = -23 Divide each side by '4'. k = -5.75 Simplifying k = -5.75
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