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

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


Simplifying
(4n + 7) + -1(5n + 6) = 0

Reorder the terms:
(7 + 4n) + -1(5n + 6) = 0

Remove parenthesis around (7 + 4n)
7 + 4n + -1(5n + 6) = 0

Reorder the terms:
7 + 4n + -1(6 + 5n) = 0
7 + 4n + (6 * -1 + 5n * -1) = 0
7 + 4n + (-6 + -5n) = 0

Reorder the terms:
7 + -6 + 4n + -5n = 0

Combine like terms: 7 + -6 = 1
1 + 4n + -5n = 0

Combine like terms: 4n + -5n = -1n
1 + -1n = 0

Solving
1 + -1n = 0

Solving for variable 'n'.

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

Add '-1' to each side of the equation.
1 + -1 + -1n = 0 + -1

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

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

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

Simplifying
n = 1

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