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Simplifying 5 + -0.37(2k + -1) = 7 Reorder the terms: 5 + -0.37(-1 + 2k) = 7 5 + (-1 * -0.37 + 2k * -0.37) = 7 5 + (0.37 + -0.74k) = 7 Combine like terms: 5 + 0.37 = 5.37 5.37 + -0.74k = 7 Solving 5.37 + -0.74k = 7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5.37' to each side of the equation. 5.37 + -5.37 + -0.74k = 7 + -5.37 Combine like terms: 5.37 + -5.37 = 0.00 0.00 + -0.74k = 7 + -5.37 -0.74k = 7 + -5.37 Combine like terms: 7 + -5.37 = 1.63 -0.74k = 1.63 Divide each side by '-0.74'. k = -2.202702703 Simplifying k = -2.202702703
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