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Simplifying 2.25k + -20 = 6.5k + 14 Reorder the terms: -20 + 2.25k = 6.5k + 14 Reorder the terms: -20 + 2.25k = 14 + 6.5k Solving -20 + 2.25k = 14 + 6.5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6.5k' to each side of the equation. -20 + 2.25k + -6.5k = 14 + 6.5k + -6.5k Combine like terms: 2.25k + -6.5k = -4.25k -20 + -4.25k = 14 + 6.5k + -6.5k Combine like terms: 6.5k + -6.5k = 0.0 -20 + -4.25k = 14 + 0.0 -20 + -4.25k = 14 Add '20' to each side of the equation. -20 + 20 + -4.25k = 14 + 20 Combine like terms: -20 + 20 = 0 0 + -4.25k = 14 + 20 -4.25k = 14 + 20 Combine like terms: 14 + 20 = 34 -4.25k = 34 Divide each side by '-4.25'. k = -8 Simplifying k = -8
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