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Simplifying -9.75k + 4(k + -2.7) = 0 Reorder the terms: -9.75k + 4(-2.7 + k) = 0 -9.75k + (-2.7 * 4 + k * 4) = 0 -9.75k + (-10.8 + 4k) = 0 Reorder the terms: -10.8 + -9.75k + 4k = 0 Combine like terms: -9.75k + 4k = -5.75k -10.8 + -5.75k = 0 Solving -10.8 + -5.75k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10.8' to each side of the equation. -10.8 + 10.8 + -5.75k = 0 + 10.8 Combine like terms: -10.8 + 10.8 = 0.0 0.0 + -5.75k = 0 + 10.8 -5.75k = 0 + 10.8 Combine like terms: 0 + 10.8 = 10.8 -5.75k = 10.8 Divide each side by '-5.75'. k = -1.87826087 Simplifying k = -1.87826087
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