10.7n-19.8=7.4(n+62.7)

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Solution for 10.7n-19.8=7.4(n+62.7) equation:


Simplifying
10.7n + -19.8 = 7.4(n + 62.7)

Reorder the terms:
-19.8 + 10.7n = 7.4(n + 62.7)

Reorder the terms:
-19.8 + 10.7n = 7.4(62.7 + n)
-19.8 + 10.7n = (62.7 * 7.4 + n * 7.4)
-19.8 + 10.7n = (463.98 + 7.4n)

Solving
-19.8 + 10.7n = 463.98 + 7.4n

Solving for variable 'n'.

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

Add '-7.4n' to each side of the equation.
-19.8 + 10.7n + -7.4n = 463.98 + 7.4n + -7.4n

Combine like terms: 10.7n + -7.4n = 3.3n
-19.8 + 3.3n = 463.98 + 7.4n + -7.4n

Combine like terms: 7.4n + -7.4n = 0.0
-19.8 + 3.3n = 463.98 + 0.0
-19.8 + 3.3n = 463.98

Add '19.8' to each side of the equation.
-19.8 + 19.8 + 3.3n = 463.98 + 19.8

Combine like terms: -19.8 + 19.8 = 0.0
0.0 + 3.3n = 463.98 + 19.8
3.3n = 463.98 + 19.8

Combine like terms: 463.98 + 19.8 = 483.78
3.3n = 483.78

Divide each side by '3.3'.
n = 146.6

Simplifying
n = 146.6

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