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Simplifying 3 + -0.5(k + 3) = -24 Reorder the terms: 3 + -0.5(3 + k) = -24 3 + (3 * -0.5 + k * -0.5) = -24 3 + (-1.5 + -0.5k) = -24 Combine like terms: 3 + -1.5 = 1.5 1.5 + -0.5k = -24 Solving 1.5 + -0.5k = -24 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + -0.5k = -24 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -0.5k = -24 + -1.5 -0.5k = -24 + -1.5 Combine like terms: -24 + -1.5 = -25.5 -0.5k = -25.5 Divide each side by '-0.5'. k = 51 Simplifying k = 51
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