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Simplifying 5x + 40y + 2z + 3k = 100 Reorder the terms: 3k + 5x + 40y + 2z = 100 Solving 3k + 5x + 40y + 2z = 100 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5x' to each side of the equation. 3k + 5x + 40y + -5x + 2z = 100 + -5x Reorder the terms: 3k + 5x + -5x + 40y + 2z = 100 + -5x Combine like terms: 5x + -5x = 0 3k + 0 + 40y + 2z = 100 + -5x 3k + 40y + 2z = 100 + -5x Add '-40y' to each side of the equation. 3k + 40y + -40y + 2z = 100 + -5x + -40y Combine like terms: 40y + -40y = 0 3k + 0 + 2z = 100 + -5x + -40y 3k + 2z = 100 + -5x + -40y Add '-2z' to each side of the equation. 3k + 2z + -2z = 100 + -5x + -40y + -2z Combine like terms: 2z + -2z = 0 3k + 0 = 100 + -5x + -40y + -2z 3k = 100 + -5x + -40y + -2z Divide each side by '3'. k = 33.33333333 + -1.666666667x + -13.33333333y + -0.6666666667z Simplifying k = 33.33333333 + -1.666666667x + -13.33333333y + -0.6666666667z
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