3(5+7n)=1+7n

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Solution for 3(5+7n)=1+7n equation: 


Simplifying
3(5 + 7n) = 1 + 7n
(5 * 3 + 7n * 3) = 1 + 7n
(15 + 21n) = 1 + 7n

Solving
15 + 21n = 1 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
15 + 21n + -7n = 1 + 7n + -7n

Combine like terms: 21n + -7n = 14n
15 + 14n = 1 + 7n + -7n

Combine like terms: 7n + -7n = 0
15 + 14n = 1 + 0
15 + 14n = 1

Add '-15' to each side of the equation.
15 + -15 + 14n = 1 + -15

Combine like terms: 15 + -15 = 0
0 + 14n = 1 + -15
14n = 1 + -15

Combine like terms: 1 + -15 = -14
14n = -14

Divide each side by '14'.
n = -1

Simplifying
n = -1

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