2(n+3)-4=5n-1

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Solution for 2(n+3)-4=5n-1 equation:


Simplifying
2(n + 3) + -4 = 5n + -1

Reorder the terms:
2(3 + n) + -4 = 5n + -1
(3 * 2 + n * 2) + -4 = 5n + -1
(6 + 2n) + -4 = 5n + -1

Reorder the terms:
6 + -4 + 2n = 5n + -1

Combine like terms: 6 + -4 = 2
2 + 2n = 5n + -1

Reorder the terms:
2 + 2n = -1 + 5n

Solving
2 + 2n = -1 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
2 + 2n + -5n = -1 + 5n + -5n

Combine like terms: 2n + -5n = -3n
2 + -3n = -1 + 5n + -5n

Combine like terms: 5n + -5n = 0
2 + -3n = -1 + 0
2 + -3n = -1

Add '-2' to each side of the equation.
2 + -2 + -3n = -1 + -2

Combine like terms: 2 + -2 = 0
0 + -3n = -1 + -2
-3n = -1 + -2

Combine like terms: -1 + -2 = -3
-3n = -3

Divide each side by '-3'.
n = 1

Simplifying
n = 1

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