2n-3=7(n-4)

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Solution for 2n-3=7(n-4) equation:


Simplifying
2n + -3 = 7(n + -4)

Reorder the terms:
-3 + 2n = 7(n + -4)

Reorder the terms:
-3 + 2n = 7(-4 + n)
-3 + 2n = (-4 * 7 + n * 7)
-3 + 2n = (-28 + 7n)

Solving
-3 + 2n = -28 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
-3 + 2n + -7n = -28 + 7n + -7n

Combine like terms: 2n + -7n = -5n
-3 + -5n = -28 + 7n + -7n

Combine like terms: 7n + -7n = 0
-3 + -5n = -28 + 0
-3 + -5n = -28

Add '3' to each side of the equation.
-3 + 3 + -5n = -28 + 3

Combine like terms: -3 + 3 = 0
0 + -5n = -28 + 3
-5n = -28 + 3

Combine like terms: -28 + 3 = -25
-5n = -25

Divide each side by '-5'.
n = 5

Simplifying
n = 5

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