7n-20=9(4n-1)

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Solution for 7n-20=9(4n-1) equation:


Simplifying
7n + -20 = 9(4n + -1)

Reorder the terms:
-20 + 7n = 9(4n + -1)

Reorder the terms:
-20 + 7n = 9(-1 + 4n)
-20 + 7n = (-1 * 9 + 4n * 9)
-20 + 7n = (-9 + 36n)

Solving
-20 + 7n = -9 + 36n

Solving for variable 'n'.

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

Add '-36n' to each side of the equation.
-20 + 7n + -36n = -9 + 36n + -36n

Combine like terms: 7n + -36n = -29n
-20 + -29n = -9 + 36n + -36n

Combine like terms: 36n + -36n = 0
-20 + -29n = -9 + 0
-20 + -29n = -9

Add '20' to each side of the equation.
-20 + 20 + -29n = -9 + 20

Combine like terms: -20 + 20 = 0
0 + -29n = -9 + 20
-29n = -9 + 20

Combine like terms: -9 + 20 = 11
-29n = 11

Divide each side by '-29'.
n = -0.3793103448

Simplifying
n = -0.3793103448

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