4n-33=7n-45

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Solution for 4n-33=7n-45 equation:


Simplifying
4n + -33 = 7n + -45

Reorder the terms:
-33 + 4n = 7n + -45

Reorder the terms:
-33 + 4n = -45 + 7n

Solving
-33 + 4n = -45 + 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.
-33 + 4n + -7n = -45 + 7n + -7n

Combine like terms: 4n + -7n = -3n
-33 + -3n = -45 + 7n + -7n

Combine like terms: 7n + -7n = 0
-33 + -3n = -45 + 0
-33 + -3n = -45

Add '33' to each side of the equation.
-33 + 33 + -3n = -45 + 33

Combine like terms: -33 + 33 = 0
0 + -3n = -45 + 33
-3n = -45 + 33

Combine like terms: -45 + 33 = -12
-3n = -12

Divide each side by '-3'.
n = 4

Simplifying
n = 4

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