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

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


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

Reorder the terms:
4(-5 + 2n) = 7(n + 2)
(-5 * 4 + 2n * 4) = 7(n + 2)
(-20 + 8n) = 7(n + 2)

Reorder the terms:
-20 + 8n = 7(2 + n)
-20 + 8n = (2 * 7 + n * 7)
-20 + 8n = (14 + 7n)

Solving
-20 + 8n = 14 + 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.
-20 + 8n + -7n = 14 + 7n + -7n

Combine like terms: 8n + -7n = 1n
-20 + 1n = 14 + 7n + -7n

Combine like terms: 7n + -7n = 0
-20 + 1n = 14 + 0
-20 + 1n = 14

Add '20' to each side of the equation.
-20 + 20 + 1n = 14 + 20

Combine like terms: -20 + 20 = 0
0 + 1n = 14 + 20
1n = 14 + 20

Combine like terms: 14 + 20 = 34
1n = 34

Divide each side by '1'.
n = 34

Simplifying
n = 34

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