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Simplifying 17.6k + -3(-18.9k + -17.91) = 5(15k + -8.14) Reorder the terms: 17.6k + -3(-17.91 + -18.9k) = 5(15k + -8.14) 17.6k + (-17.91 * -3 + -18.9k * -3) = 5(15k + -8.14) 17.6k + (53.73 + 56.7k) = 5(15k + -8.14) Reorder the terms: 53.73 + 17.6k + 56.7k = 5(15k + -8.14) Combine like terms: 17.6k + 56.7k = 74.3k 53.73 + 74.3k = 5(15k + -8.14) Reorder the terms: 53.73 + 74.3k = 5(-8.14 + 15k) 53.73 + 74.3k = (-8.14 * 5 + 15k * 5) 53.73 + 74.3k = (-40.7 + 75k) Solving 53.73 + 74.3k = -40.7 + 75k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-75k' to each side of the equation. 53.73 + 74.3k + -75k = -40.7 + 75k + -75k Combine like terms: 74.3k + -75k = -0.7k 53.73 + -0.7k = -40.7 + 75k + -75k Combine like terms: 75k + -75k = 0 53.73 + -0.7k = -40.7 + 0 53.73 + -0.7k = -40.7 Add '-53.73' to each side of the equation. 53.73 + -53.73 + -0.7k = -40.7 + -53.73 Combine like terms: 53.73 + -53.73 = 0.00 0.00 + -0.7k = -40.7 + -53.73 -0.7k = -40.7 + -53.73 Combine like terms: -40.7 + -53.73 = -94.43 -0.7k = -94.43 Divide each side by '-0.7'. k = 134.9 Simplifying k = 134.9
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