4n-40=7(-2n+3)

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Solution for 4n-40=7(-2n+3) equation:


Simplifying
4n + -40 = 7(-2n + 3)

Reorder the terms:
-40 + 4n = 7(-2n + 3)

Reorder the terms:
-40 + 4n = 7(3 + -2n)
-40 + 4n = (3 * 7 + -2n * 7)
-40 + 4n = (21 + -14n)

Solving
-40 + 4n = 21 + -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.
-40 + 4n + 14n = 21 + -14n + 14n

Combine like terms: 4n + 14n = 18n
-40 + 18n = 21 + -14n + 14n

Combine like terms: -14n + 14n = 0
-40 + 18n = 21 + 0
-40 + 18n = 21

Add '40' to each side of the equation.
-40 + 40 + 18n = 21 + 40

Combine like terms: -40 + 40 = 0
0 + 18n = 21 + 40
18n = 21 + 40

Combine like terms: 21 + 40 = 61
18n = 61

Divide each side by '18'.
n = 3.388888889

Simplifying
n = 3.388888889

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