7n-42=5n-10

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Solution for 7n-42=5n-10 equation:


Simplifying
7n + -42 = 5n + -10

Reorder the terms:
-42 + 7n = 5n + -10

Reorder the terms:
-42 + 7n = -10 + 5n

Solving
-42 + 7n = -10 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
-42 + 7n + -5n = -10 + 5n + -5n

Combine like terms: 7n + -5n = 2n
-42 + 2n = -10 + 5n + -5n

Combine like terms: 5n + -5n = 0
-42 + 2n = -10 + 0
-42 + 2n = -10

Add '42' to each side of the equation.
-42 + 42 + 2n = -10 + 42

Combine like terms: -42 + 42 = 0
0 + 2n = -10 + 42
2n = -10 + 42

Combine like terms: -10 + 42 = 32
2n = 32

Divide each side by '2'.
n = 16

Simplifying
n = 16

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