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Simplifying k = 1.5(7 + k) k = (7 * 1.5 + k * 1.5) k = (10.5 + 1.5k) Solving k = 10.5 + 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. k + -1.5k = 10.5 + 1.5k + -1.5k Combine like terms: k + -1.5k = -0.5k -0.5k = 10.5 + 1.5k + -1.5k Combine like terms: 1.5k + -1.5k = 0.0 -0.5k = 10.5 + 0.0 -0.5k = 10.5 Divide each side by '-0.5'. k = -21 Simplifying k = -21
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