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Simplifying 123456789(9x + 2k + -3z) = 98765321(3y + -7v) Reorder the terms: 123456789(2k + 9x + -3z) = 98765321(3y + -7v) (2k * 123456789 + 9x * 123456789 + -3z * 123456789) = 98765321(3y + -7v) (246913578k + 1111111101x + -370370367z) = 98765321(3y + -7v) Reorder the terms: 246913578k + 1111111101x + -370370367z = 98765321(-7v + 3y) 246913578k + 1111111101x + -370370367z = (-7v * 98765321 + 3y * 98765321) 246913578k + 1111111101x + -370370367z = (-691357247v + 296295963y) Solving 246913578k + 1111111101x + -370370367z = -691357247v + 296295963y Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1111111101x' to each side of the equation. 246913578k + 1111111101x + -1111111101x + -370370367z = -691357247v + -1111111101x + 296295963y Combine like terms: 1111111101x + -1111111101x = 0 246913578k + 0 + -370370367z = -691357247v + -1111111101x + 296295963y 246913578k + -370370367z = -691357247v + -1111111101x + 296295963y Add '370370367z' to each side of the equation. 246913578k + -370370367z + 370370367z = -691357247v + -1111111101x + 296295963y + 370370367z Combine like terms: -370370367z + 370370367z = 0 246913578k + 0 = -691357247v + -1111111101x + 296295963y + 370370367z 246913578k = -691357247v + -1111111101x + 296295963y + 370370367z Divide each side by '246913578'. k = -2.799996876v + -4.5x + 1.199998661y + 1.5z Simplifying k = -2.799996876v + -4.5x + 1.199998661y + 1.5z
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