7(-1-5n)=7(-6n+3)

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Solution for 7(-1-5n)=7(-6n+3) equation:


Simplifying
7(-1 + -5n) = 7(-6n + 3)
(-1 * 7 + -5n * 7) = 7(-6n + 3)
(-7 + -35n) = 7(-6n + 3)

Reorder the terms:
-7 + -35n = 7(3 + -6n)
-7 + -35n = (3 * 7 + -6n * 7)
-7 + -35n = (21 + -42n)

Solving
-7 + -35n = 21 + -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.
-7 + -35n + 42n = 21 + -42n + 42n

Combine like terms: -35n + 42n = 7n
-7 + 7n = 21 + -42n + 42n

Combine like terms: -42n + 42n = 0
-7 + 7n = 21 + 0
-7 + 7n = 21

Add '7' to each side of the equation.
-7 + 7 + 7n = 21 + 7

Combine like terms: -7 + 7 = 0
0 + 7n = 21 + 7
7n = 21 + 7

Combine like terms: 21 + 7 = 28
7n = 28

Divide each side by '7'.
n = 4

Simplifying
n = 4

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