4(n-5)=2n-7

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Solution for 4(n-5)=2n-7 equation:


Simplifying
4(n + -5) = 2n + -7

Reorder the terms:
4(-5 + n) = 2n + -7
(-5 * 4 + n * 4) = 2n + -7
(-20 + 4n) = 2n + -7

Reorder the terms:
-20 + 4n = -7 + 2n

Solving
-20 + 4n = -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.
-20 + 4n + -2n = -7 + 2n + -2n

Combine like terms: 4n + -2n = 2n
-20 + 2n = -7 + 2n + -2n

Combine like terms: 2n + -2n = 0
-20 + 2n = -7 + 0
-20 + 2n = -7

Add '20' to each side of the equation.
-20 + 20 + 2n = -7 + 20

Combine like terms: -20 + 20 = 0
0 + 2n = -7 + 20
2n = -7 + 20

Combine like terms: -7 + 20 = 13
2n = 13

Divide each side by '2'.
n = 6.5

Simplifying
n = 6.5

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