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Simplifying 1.5(7 + -1k) = k (7 * 1.5 + -1k * 1.5) = k (10.5 + -1.5k) = k Solving 10.5 + -1.5k = k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 10.5 + -1.5k + -1k = k + -1k Combine like terms: -1.5k + -1k = -2.5k 10.5 + -2.5k = k + -1k Combine like terms: k + -1k = 0 10.5 + -2.5k = 0 Add '-10.5' to each side of the equation. 10.5 + -10.5 + -2.5k = 0 + -10.5 Combine like terms: 10.5 + -10.5 = 0.0 0.0 + -2.5k = 0 + -10.5 -2.5k = 0 + -10.5 Combine like terms: 0 + -10.5 = -10.5 -2.5k = -10.5 Divide each side by '-2.5'. k = 4.2 Simplifying k = 4.2
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