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

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


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

Reorder the terms:
2 + -4(-2 + n) = 3n + 5
2 + (-2 * -4 + n * -4) = 3n + 5
2 + (8 + -4n) = 3n + 5

Combine like terms: 2 + 8 = 10
10 + -4n = 3n + 5

Reorder the terms:
10 + -4n = 5 + 3n

Solving
10 + -4n = 5 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
10 + -4n + -3n = 5 + 3n + -3n

Combine like terms: -4n + -3n = -7n
10 + -7n = 5 + 3n + -3n

Combine like terms: 3n + -3n = 0
10 + -7n = 5 + 0
10 + -7n = 5

Add '-10' to each side of the equation.
10 + -10 + -7n = 5 + -10

Combine like terms: 10 + -10 = 0
0 + -7n = 5 + -10
-7n = 5 + -10

Combine like terms: 5 + -10 = -5
-7n = -5

Divide each side by '-7'.
n = 0.7142857143

Simplifying
n = 0.7142857143

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