6n+15=42n+14+2

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Solution for 6n+15=42n+14+2 equation:


Simplifying
6n + 15 = 42n + 14 + 2

Reorder the terms:
15 + 6n = 42n + 14 + 2

Reorder the terms:
15 + 6n = 14 + 2 + 42n

Combine like terms: 14 + 2 = 16
15 + 6n = 16 + 42n

Solving
15 + 6n = 16 + 42n

Solving for variable 'n'.

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

Add '-42n' to each side of the equation.
15 + 6n + -42n = 16 + 42n + -42n

Combine like terms: 6n + -42n = -36n
15 + -36n = 16 + 42n + -42n

Combine like terms: 42n + -42n = 0
15 + -36n = 16 + 0
15 + -36n = 16

Add '-15' to each side of the equation.
15 + -15 + -36n = 16 + -15

Combine like terms: 15 + -15 = 0
0 + -36n = 16 + -15
-36n = 16 + -15

Combine like terms: 16 + -15 = 1
-36n = 1

Divide each side by '-36'.
n = -0.02777777778

Simplifying
n = -0.02777777778

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