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Simplifying 3n + -6y(2k + 8) = 6x(3) + n + 8 Reorder the terms: 3n + -6y(8 + 2k) = 6x(3) + n + 8 3n + (8 * -6y + 2k * -6y) = 6x(3) + n + 8 Reorder the terms: 3n + (-12ky + -48y) = 6x(3) + n + 8 3n + (-12ky + -48y) = 6x(3) + n + 8 Reorder the terms: -12ky + 3n + -48y = 6x(3) + n + 8 Reorder the terms for easier multiplication: -12ky + 3n + -48y = 6 * 3x + n + 8 Multiply 6 * 3 -12ky + 3n + -48y = 18x + n + 8 Reorder the terms: -12ky + 3n + -48y = 8 + n + 18x Solving -12ky + 3n + -48y = 8 + n + 18x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3n' to each side of the equation. -12ky + 3n + -3n + -48y = 8 + n + -3n + 18x Combine like terms: 3n + -3n = 0 -12ky + 0 + -48y = 8 + n + -3n + 18x -12ky + -48y = 8 + n + -3n + 18x Combine like terms: n + -3n = -2n -12ky + -48y = 8 + -2n + 18x Add '48y' to each side of the equation. -12ky + -48y + 48y = 8 + -2n + 18x + 48y Combine like terms: -48y + 48y = 0 -12ky + 0 = 8 + -2n + 18x + 48y -12ky = 8 + -2n + 18x + 48y Divide each side by '-12y'. k = -0.6666666667y-1 + 0.1666666667ny-1 + -1.5xy-1 + -4 Simplifying k = -0.6666666667y-1 + 0.1666666667ny-1 + -1.5xy-1 + -4 Reorder the terms: k = -4 + 0.1666666667ny-1 + -1.5xy-1 + -0.6666666667y-1
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