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Simplifying 2.7(k + -3) = 5k + -5 Reorder the terms: 2.7(-3 + k) = 5k + -5 (-3 * 2.7 + k * 2.7) = 5k + -5 (-8.1 + 2.7k) = 5k + -5 Reorder the terms: -8.1 + 2.7k = -5 + 5k Solving -8.1 + 2.7k = -5 + 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. -8.1 + 2.7k + -5k = -5 + 5k + -5k Combine like terms: 2.7k + -5k = -2.3k -8.1 + -2.3k = -5 + 5k + -5k Combine like terms: 5k + -5k = 0 -8.1 + -2.3k = -5 + 0 -8.1 + -2.3k = -5 Add '8.1' to each side of the equation. -8.1 + 8.1 + -2.3k = -5 + 8.1 Combine like terms: -8.1 + 8.1 = 0.0 0.0 + -2.3k = -5 + 8.1 -2.3k = -5 + 8.1 Combine like terms: -5 + 8.1 = 3.1 -2.3k = 3.1 Divide each side by '-2.3'. k = -1.347826087 Simplifying k = -1.347826087
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