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Simplifying -12 = 5(1k + -2) Reorder the terms: -12 = 5(-2 + 1k) -12 = (-2 * 5 + 1k * 5) -12 = (-10 + 5k) Solving -12 = -10 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. -12 + -5k = -10 + 5k + -5k Combine like terms: 5k + -5k = 0 -12 + -5k = -10 + 0 -12 + -5k = -10 Add '12' to each side of the equation. -12 + 12 + -5k = -10 + 12 Combine like terms: -12 + 12 = 0 0 + -5k = -10 + 12 -5k = -10 + 12 Combine like terms: -10 + 12 = 2 -5k = 2 Divide each side by '-5'. k = -0.4 Simplifying k = -0.4
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