4(7n+33)+7(n+1)=

Solution for 4(7n+33)+7(n+1)= equation:

Simplifying
4(7n + 33) + 7(n + 1) = 0

Reorder the terms:
4(33 + 7n) + 7(n + 1) = 0
(33 * 4 + 7n * 4) + 7(n + 1) = 0
(132 + 28n) + 7(n + 1) = 0

Reorder the terms:
132 + 28n + 7(1 + n) = 0
132 + 28n + (1 * 7 + n * 7) = 0
132 + 28n + (7 + 7n) = 0

Reorder the terms:
132 + 7 + 28n + 7n = 0

Combine like terms: 132 + 7 = 139
139 + 28n + 7n = 0

Combine like terms: 28n + 7n = 35n
139 + 35n = 0

Solving
139 + 35n = 0

Solving for variable 'n'.

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

Add '-139' to each side of the equation.
139 + -139 + 35n = 0 + -139

Combine like terms: 139 + -139 = 0
0 + 35n = 0 + -139
35n = 0 + -139

Combine like terms: 0 + -139 = -139
35n = -139

Divide each side by '35'.
n = -3.971428571

Simplifying
n = -3.971428571