6(2n+33)+7(n+1)=

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Solution for 6(2n+33)+7(n+1)= equation:


Simplifying
6(2n + 33) + 7(n + 1) = 0

Reorder the terms:
6(33 + 2n) + 7(n + 1) = 0
(33 * 6 + 2n * 6) + 7(n + 1) = 0
(198 + 12n) + 7(n + 1) = 0

Reorder the terms:
198 + 12n + 7(1 + n) = 0
198 + 12n + (1 * 7 + n * 7) = 0
198 + 12n + (7 + 7n) = 0

Reorder the terms:
198 + 7 + 12n + 7n = 0

Combine like terms: 198 + 7 = 205
205 + 12n + 7n = 0

Combine like terms: 12n + 7n = 19n
205 + 19n = 0

Solving
205 + 19n = 0

Solving for variable 'n'.

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

Add '-205' to each side of the equation.
205 + -205 + 19n = 0 + -205

Combine like terms: 205 + -205 = 0
0 + 19n = 0 + -205
19n = 0 + -205

Combine like terms: 0 + -205 = -205
19n = -205

Divide each side by '19'.
n = -10.78947368

Simplifying
n = -10.78947368

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