-5(1-3n)=2(7n-1)

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Solution for -5(1-3n)=2(7n-1) equation:


Simplifying
-5(1 + -3n) = 2(7n + -1)
(1 * -5 + -3n * -5) = 2(7n + -1)
(-5 + 15n) = 2(7n + -1)

Reorder the terms:
-5 + 15n = 2(-1 + 7n)
-5 + 15n = (-1 * 2 + 7n * 2)
-5 + 15n = (-2 + 14n)

Solving
-5 + 15n = -2 + 14n

Solving for variable 'n'.

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

Add '-14n' to each side of the equation.
-5 + 15n + -14n = -2 + 14n + -14n

Combine like terms: 15n + -14n = 1n
-5 + 1n = -2 + 14n + -14n

Combine like terms: 14n + -14n = 0
-5 + 1n = -2 + 0
-5 + 1n = -2

Add '5' to each side of the equation.
-5 + 5 + 1n = -2 + 5

Combine like terms: -5 + 5 = 0
0 + 1n = -2 + 5
1n = -2 + 5

Combine like terms: -2 + 5 = 3
1n = 3

Divide each side by '1'.
n = 3

Simplifying
n = 3

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