9(42)-9(4)=9(30)+9(n)

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Solution for 9(42)-9(4)=9(30)+9(n) equation: 


Simplifying
9(42) + -9(4) = 9(30) + 9(n)

Multiply 9 * 42
378 + -9(4) = 9(30) + 9(n)

Multiply -9 * 4
378 + -36 = 9(30) + 9(n)

Combine like terms: 378 + -36 = 342
342 = 9(30) + 9(n)

Multiply 9 * 30
342 = 270 + 9(n)

Solving
342 = 270 + 9n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-9n' to each side of the equation.
342 + -9n = 270 + 9n + -9n

Combine like terms: 9n + -9n = 0
342 + -9n = 270 + 0
342 + -9n = 270

Add '-342' to each side of the equation.
342 + -342 + -9n = 270 + -342

Combine like terms: 342 + -342 = 0
0 + -9n = 270 + -342
-9n = 270 + -342

Combine like terms: 270 + -342 = -72
-9n = -72

Divide each side by '-9'.
n = 8

Simplifying
n = 8

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