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Simplifying 2.25 = 7 + 3k + -12 Reorder the terms: 2.25 = 7 + -12 + 3k Combine like terms: 7 + -12 = -5 2.25 = -5 + 3k Solving 2.25 = -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. 2.25 + -3k = -5 + 3k + -3k Combine like terms: 3k + -3k = 0 2.25 + -3k = -5 + 0 2.25 + -3k = -5 Add '-2.25' to each side of the equation. 2.25 + -2.25 + -3k = -5 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + -3k = -5 + -2.25 -3k = -5 + -2.25 Combine like terms: -5 + -2.25 = -7.25 -3k = -7.25 Divide each side by '-3'. k = 2.416666667 Simplifying k = 2.416666667
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