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Simplifying -3k + 10 = k + 12 Reorder the terms: 10 + -3k = k + 12 Reorder the terms: 10 + -3k = 12 + k Solving 10 + -3k = 12 + 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. 10 + -3k + -1k = 12 + k + -1k Combine like terms: -3k + -1k = -4k 10 + -4k = 12 + k + -1k Combine like terms: k + -1k = 0 10 + -4k = 12 + 0 10 + -4k = 12 Add '-10' to each side of the equation. 10 + -10 + -4k = 12 + -10 Combine like terms: 10 + -10 = 0 0 + -4k = 12 + -10 -4k = 12 + -10 Combine like terms: 12 + -10 = 2 -4k = 2 Divide each side by '-4'. k = -0.5 Simplifying k = -0.5
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