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Simplifying -5k + -2(4k + 5) = 7k Reorder the terms: -5k + -2(5 + 4k) = 7k -5k + (5 * -2 + 4k * -2) = 7k -5k + (-10 + -8k) = 7k Reorder the terms: -10 + -5k + -8k = 7k Combine like terms: -5k + -8k = -13k -10 + -13k = 7k Solving -10 + -13k = 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. -10 + -13k + -7k = 7k + -7k Combine like terms: -13k + -7k = -20k -10 + -20k = 7k + -7k Combine like terms: 7k + -7k = 0 -10 + -20k = 0 Add '10' to each side of the equation. -10 + 10 + -20k = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -20k = 0 + 10 -20k = 0 + 10 Combine like terms: 0 + 10 = 10 -20k = 10 Divide each side by '-20'. k = -0.5 Simplifying k = -0.5
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