-3(1+6n)-(n+8)=46

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Solution for -3(1+6n)-(n+8)=46 equation: 


Simplifying
-3(1 + 6n) + -1(n + 8) = 46
(1 * -3 + 6n * -3) + -1(n + 8) = 46
(-3 + -18n) + -1(n + 8) = 46

Reorder the terms:
-3 + -18n + -1(8 + n) = 46
-3 + -18n + (8 * -1 + n * -1) = 46
-3 + -18n + (-8 + -1n) = 46

Reorder the terms:
-3 + -8 + -18n + -1n = 46

Combine like terms: -3 + -8 = -11
-11 + -18n + -1n = 46

Combine like terms: -18n + -1n = -19n
-11 + -19n = 46

Solving
-11 + -19n = 46

Solving for variable 'n'.

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

Add '11' to each side of the equation.
-11 + 11 + -19n = 46 + 11

Combine like terms: -11 + 11 = 0
0 + -19n = 46 + 11
-19n = 46 + 11

Combine like terms: 46 + 11 = 57
-19n = 57

Divide each side by '-19'.
n = -3

Simplifying
n = -3

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