4(6n+8)+3(1-7n)=20

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Solution for 4(6n+8)+3(1-7n)=20 equation:


Simplifying
4(6n + 8) + 3(1 + -7n) = 20

Reorder the terms:
4(8 + 6n) + 3(1 + -7n) = 20
(8 * 4 + 6n * 4) + 3(1 + -7n) = 20
(32 + 24n) + 3(1 + -7n) = 20
32 + 24n + (1 * 3 + -7n * 3) = 20
32 + 24n + (3 + -21n) = 20

Reorder the terms:
32 + 3 + 24n + -21n = 20

Combine like terms: 32 + 3 = 35
35 + 24n + -21n = 20

Combine like terms: 24n + -21n = 3n
35 + 3n = 20

Solving
35 + 3n = 20

Solving for variable 'n'.

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

Add '-35' to each side of the equation.
35 + -35 + 3n = 20 + -35

Combine like terms: 35 + -35 = 0
0 + 3n = 20 + -35
3n = 20 + -35

Combine like terms: 20 + -35 = -15
3n = -15

Divide each side by '3'.
n = -5

Simplifying
n = -5

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