4n-40=7(-2n-14)

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Solution for 4n-40=7(-2n-14) equation:


Simplifying
4n + -40 = 7(-2n + -14)

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

Reorder the terms:
-40 + 4n = 7(-14 + -2n)
-40 + 4n = (-14 * 7 + -2n * 7)
-40 + 4n = (-98 + -14n)

Solving
-40 + 4n = -98 + -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 = -98 + -14n + 14n

Combine like terms: 4n + 14n = 18n
-40 + 18n = -98 + -14n + 14n

Combine like terms: -14n + 14n = 0
-40 + 18n = -98 + 0
-40 + 18n = -98

Add '40' to each side of the equation.
-40 + 40 + 18n = -98 + 40

Combine like terms: -40 + 40 = 0
0 + 18n = -98 + 40
18n = -98 + 40

Combine like terms: -98 + 40 = -58
18n = -58

Divide each side by '18'.
n = -3.222222222

Simplifying
n = -3.222222222

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