10(6n-9)=10(4-7n)

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Solution for 10(6n-9)=10(4-7n) equation: 


Simplifying
10(6n + -9) = 10(4 + -7n)

Reorder the terms:
10(-9 + 6n) = 10(4 + -7n)
(-9 * 10 + 6n * 10) = 10(4 + -7n)
(-90 + 60n) = 10(4 + -7n)
-90 + 60n = (4 * 10 + -7n * 10)
-90 + 60n = (40 + -70n)

Solving
-90 + 60n = 40 + -70n

Solving for variable 'n'.

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

Add '70n' to each side of the equation.
-90 + 60n + 70n = 40 + -70n + 70n

Combine like terms: 60n + 70n = 130n
-90 + 130n = 40 + -70n + 70n

Combine like terms: -70n + 70n = 0
-90 + 130n = 40 + 0
-90 + 130n = 40

Add '90' to each side of the equation.
-90 + 90 + 130n = 40 + 90

Combine like terms: -90 + 90 = 0
0 + 130n = 40 + 90
130n = 40 + 90

Combine like terms: 40 + 90 = 130
130n = 130

Divide each side by '130'.
n = 1

Simplifying
n = 1

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