5n-183=4(5-6n)

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Solution for 5n-183=4(5-6n) equation:


Simplifying
5n + -183 = 4(5 + -6n)

Reorder the terms:
-183 + 5n = 4(5 + -6n)
-183 + 5n = (5 * 4 + -6n * 4)
-183 + 5n = (20 + -24n)

Solving
-183 + 5n = 20 + -24n

Solving for variable 'n'.

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

Add '24n' to each side of the equation.
-183 + 5n + 24n = 20 + -24n + 24n

Combine like terms: 5n + 24n = 29n
-183 + 29n = 20 + -24n + 24n

Combine like terms: -24n + 24n = 0
-183 + 29n = 20 + 0
-183 + 29n = 20

Add '183' to each side of the equation.
-183 + 183 + 29n = 20 + 183

Combine like terms: -183 + 183 = 0
0 + 29n = 20 + 183
29n = 20 + 183

Combine like terms: 20 + 183 = 203
29n = 203

Divide each side by '29'.
n = 7

Simplifying
n = 7

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