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Simplifying -9 = -38.2k + 4(9.7k + -2.5) Reorder the terms: -9 = -38.2k + 4(-2.5 + 9.7k) -9 = -38.2k + (-2.5 * 4 + 9.7k * 4) -9 = -38.2k + (-10 + 38.8k) Reorder the terms: -9 = -10 + -38.2k + 38.8k Combine like terms: -38.2k + 38.8k = 0.6k -9 = -10 + 0.6k Solving -9 = -10 + 0.6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.6k' to each side of the equation. -9 + -0.6k = -10 + 0.6k + -0.6k Combine like terms: 0.6k + -0.6k = 0.0 -9 + -0.6k = -10 + 0.0 -9 + -0.6k = -10 Add '9' to each side of the equation. -9 + 9 + -0.6k = -10 + 9 Combine like terms: -9 + 9 = 0 0 + -0.6k = -10 + 9 -0.6k = -10 + 9 Combine like terms: -10 + 9 = -1 -0.6k = -1 Divide each side by '-0.6'. k = 1.666666667 Simplifying k = 1.666666667
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