7(1-4n)=(-2n-7)

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Solution for 7(1-4n)=(-2n-7) equation:


Simplifying
7(1 + -4n) = (-2n + -7)
(1 * 7 + -4n * 7) = (-2n + -7)
(7 + -28n) = (-2n + -7)

Reorder the terms:
7 + -28n = (-7 + -2n)

Remove parenthesis around (-7 + -2n)
7 + -28n = -7 + -2n

Solving
7 + -28n = -7 + -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
7 + -28n + 2n = -7 + -2n + 2n

Combine like terms: -28n + 2n = -26n
7 + -26n = -7 + -2n + 2n

Combine like terms: -2n + 2n = 0
7 + -26n = -7 + 0
7 + -26n = -7

Add '-7' to each side of the equation.
7 + -7 + -26n = -7 + -7

Combine like terms: 7 + -7 = 0
0 + -26n = -7 + -7
-26n = -7 + -7

Combine like terms: -7 + -7 = -14
-26n = -14

Divide each side by '-26'.
n = 0.5384615385

Simplifying
n = 0.5384615385

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