-33+4n=4(n+7)+7n

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Solution for -33+4n=4(n+7)+7n equation:


Simplifying
-33 + 4n = 4(n + 7) + 7n

Reorder the terms:
-33 + 4n = 4(7 + n) + 7n
-33 + 4n = (7 * 4 + n * 4) + 7n
-33 + 4n = (28 + 4n) + 7n

Combine like terms: 4n + 7n = 11n
-33 + 4n = 28 + 11n

Solving
-33 + 4n = 28 + 11n

Solving for variable 'n'.

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

Add '-11n' to each side of the equation.
-33 + 4n + -11n = 28 + 11n + -11n

Combine like terms: 4n + -11n = -7n
-33 + -7n = 28 + 11n + -11n

Combine like terms: 11n + -11n = 0
-33 + -7n = 28 + 0
-33 + -7n = 28

Add '33' to each side of the equation.
-33 + 33 + -7n = 28 + 33

Combine like terms: -33 + 33 = 0
0 + -7n = 28 + 33
-7n = 28 + 33

Combine like terms: 28 + 33 = 61
-7n = 61

Divide each side by '-7'.
n = -8.714285714

Simplifying
n = -8.714285714

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