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Simplifying 2n + 5y + 5n + -6y + -2k = 0 Reorder the terms: -2k + 2n + 5n + 5y + -6y = 0 Combine like terms: 2n + 5n = 7n -2k + 7n + 5y + -6y = 0 Combine like terms: 5y + -6y = -1y -2k + 7n + -1y = 0 Solving -2k + 7n + -1y = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7n' to each side of the equation. -2k + 7n + -7n + -1y = 0 + -7n Combine like terms: 7n + -7n = 0 -2k + 0 + -1y = 0 + -7n -2k + -1y = 0 + -7n Remove the zero: -2k + -1y = -7n Add 'y' to each side of the equation. -2k + -1y + y = -7n + y Combine like terms: -1y + y = 0 -2k + 0 = -7n + y -2k = -7n + y Divide each side by '-2'. k = 3.5n + -0.5y Simplifying k = 3.5n + -0.5y
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