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Simplifying 2.5 = 7 + 3k + -12 Reorder the terms: 2.5 = 7 + -12 + 3k Combine like terms: 7 + -12 = -5 2.5 = -5 + 3k Solving 2.5 = -5 + 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. 2.5 + -3k = -5 + 3k + -3k Combine like terms: 3k + -3k = 0 2.5 + -3k = -5 + 0 2.5 + -3k = -5 Add '-2.5' to each side of the equation. 2.5 + -2.5 + -3k = -5 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -3k = -5 + -2.5 -3k = -5 + -2.5 Combine like terms: -5 + -2.5 = -7.5 -3k = -7.5 Divide each side by '-3'. k = 2.5 Simplifying k = 2.5
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