1n-48=7(5n+8)-2

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Solution for 1n-48=7(5n+8)-2 equation:


Simplifying
1n + -48 = 7(5n + 8) + -2

Reorder the terms:
-48 + 1n = 7(5n + 8) + -2

Reorder the terms:
-48 + 1n = 7(8 + 5n) + -2
-48 + 1n = (8 * 7 + 5n * 7) + -2
-48 + 1n = (56 + 35n) + -2

Reorder the terms:
-48 + 1n = 56 + -2 + 35n

Combine like terms: 56 + -2 = 54
-48 + 1n = 54 + 35n

Solving
-48 + 1n = 54 + 35n

Solving for variable 'n'.

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

Add '-35n' to each side of the equation.
-48 + 1n + -35n = 54 + 35n + -35n

Combine like terms: 1n + -35n = -34n
-48 + -34n = 54 + 35n + -35n

Combine like terms: 35n + -35n = 0
-48 + -34n = 54 + 0
-48 + -34n = 54

Add '48' to each side of the equation.
-48 + 48 + -34n = 54 + 48

Combine like terms: -48 + 48 = 0
0 + -34n = 54 + 48
-34n = 54 + 48

Combine like terms: 54 + 48 = 102
-34n = 102

Divide each side by '-34'.
n = -3

Simplifying
n = -3

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