4n-7(n+1)=6-(2n+5)

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Solution for 4n-7(n+1)=6-(2n+5) equation:


Simplifying
4n + -7(n + 1) = 6 + -1(2n + 5)

Reorder the terms:
4n + -7(1 + n) = 6 + -1(2n + 5)
4n + (1 * -7 + n * -7) = 6 + -1(2n + 5)
4n + (-7 + -7n) = 6 + -1(2n + 5)

Reorder the terms:
-7 + 4n + -7n = 6 + -1(2n + 5)

Combine like terms: 4n + -7n = -3n
-7 + -3n = 6 + -1(2n + 5)

Reorder the terms:
-7 + -3n = 6 + -1(5 + 2n)
-7 + -3n = 6 + (5 * -1 + 2n * -1)
-7 + -3n = 6 + (-5 + -2n)

Combine like terms: 6 + -5 = 1
-7 + -3n = 1 + -2n

Solving
-7 + -3n = 1 + -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.
-7 + -3n + 2n = 1 + -2n + 2n

Combine like terms: -3n + 2n = -1n
-7 + -1n = 1 + -2n + 2n

Combine like terms: -2n + 2n = 0
-7 + -1n = 1 + 0
-7 + -1n = 1

Add '7' to each side of the equation.
-7 + 7 + -1n = 1 + 7

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

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

Divide each side by '-1'.
n = -8

Simplifying
n = -8

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