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Simplifying -22.5 = 7k + -5.5k Combine like terms: 7k + -5.5k = 1.5k -22.5 = 1.5k Solving -22.5 = 1.5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1.5k' to each side of the equation. -22.5 + -1.5k = 1.5k + -1.5k Combine like terms: 1.5k + -1.5k = 0.0 -22.5 + -1.5k = 0.0 Add '22.5' to each side of the equation. -22.5 + 22.5 + -1.5k = 0.0 + 22.5 Combine like terms: -22.5 + 22.5 = 0.0 0.0 + -1.5k = 0.0 + 22.5 -1.5k = 0.0 + 22.5 Combine like terms: 0.0 + 22.5 = 22.5 -1.5k = 22.5 Divide each side by '-1.5'. k = -15 Simplifying k = -15
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