-4(n-5)=-2(n-3)

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Solution for -4(n-5)=-2(n-3) equation:


Simplifying
-4(n + -5) = -2(n + -3)

Reorder the terms:
-4(-5 + n) = -2(n + -3)
(-5 * -4 + n * -4) = -2(n + -3)
(20 + -4n) = -2(n + -3)

Reorder the terms:
20 + -4n = -2(-3 + n)
20 + -4n = (-3 * -2 + n * -2)
20 + -4n = (6 + -2n)

Solving
20 + -4n = 6 + -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.
20 + -4n + 2n = 6 + -2n + 2n

Combine like terms: -4n + 2n = -2n
20 + -2n = 6 + -2n + 2n

Combine like terms: -2n + 2n = 0
20 + -2n = 6 + 0
20 + -2n = 6

Add '-20' to each side of the equation.
20 + -20 + -2n = 6 + -20

Combine like terms: 20 + -20 = 0
0 + -2n = 6 + -20
-2n = 6 + -20

Combine like terms: 6 + -20 = -14
-2n = -14

Divide each side by '-2'.
n = 7

Simplifying
n = 7

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