4(6+8n)-5=6n-33

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Solution for 4(6+8n)-5=6n-33 equation:


Simplifying
4(6 + 8n) + -5 = 6n + -33
(6 * 4 + 8n * 4) + -5 = 6n + -33
(24 + 32n) + -5 = 6n + -33

Reorder the terms:
24 + -5 + 32n = 6n + -33

Combine like terms: 24 + -5 = 19
19 + 32n = 6n + -33

Reorder the terms:
19 + 32n = -33 + 6n

Solving
19 + 32n = -33 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
19 + 32n + -6n = -33 + 6n + -6n

Combine like terms: 32n + -6n = 26n
19 + 26n = -33 + 6n + -6n

Combine like terms: 6n + -6n = 0
19 + 26n = -33 + 0
19 + 26n = -33

Add '-19' to each side of the equation.
19 + -19 + 26n = -33 + -19

Combine like terms: 19 + -19 = 0
0 + 26n = -33 + -19
26n = -33 + -19

Combine like terms: -33 + -19 = -52
26n = -52

Divide each side by '26'.
n = -2

Simplifying
n = -2

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