-6.3(n-1.7)=1.2(2.38n-7)

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Solution for -6.3(n-1.7)=1.2(2.38n-7) equation: 


Simplifying
-6.3(n + -1.7) = 1.2(2.38n + -7)

Reorder the terms:
-6.3(-1.7 + n) = 1.2(2.38n + -7)
(-1.7 * -6.3 + n * -6.3) = 1.2(2.38n + -7)
(10.71 + -6.3n) = 1.2(2.38n + -7)

Reorder the terms:
10.71 + -6.3n = 1.2(-7 + 2.38n)
10.71 + -6.3n = (-7 * 1.2 + 2.38n * 1.2)
10.71 + -6.3n = (-8.4 + 2.856n)

Solving
10.71 + -6.3n = -8.4 + 2.856n

Solving for variable 'n'.

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

Add '-2.856n' to each side of the equation.
10.71 + -6.3n + -2.856n = -8.4 + 2.856n + -2.856n

Combine like terms: -6.3n + -2.856n = -9.156n
10.71 + -9.156n = -8.4 + 2.856n + -2.856n

Combine like terms: 2.856n + -2.856n = 0.000
10.71 + -9.156n = -8.4 + 0.000
10.71 + -9.156n = -8.4

Add '-10.71' to each side of the equation.
10.71 + -10.71 + -9.156n = -8.4 + -10.71

Combine like terms: 10.71 + -10.71 = 0.00
0.00 + -9.156n = -8.4 + -10.71
-9.156n = -8.4 + -10.71

Combine like terms: -8.4 + -10.71 = -19.11
-9.156n = -19.11

Divide each side by '-9.156'.
n = 2.087155963

Simplifying
n = 2.087155963

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