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

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


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

Reorder the terms:
20 = 7(6 + 7n) + 8(1 + -8n)
20 = (6 * 7 + 7n * 7) + 8(1 + -8n)
20 = (42 + 49n) + 8(1 + -8n)
20 = 42 + 49n + (1 * 8 + -8n * 8)
20 = 42 + 49n + (8 + -64n)

Reorder the terms:
20 = 42 + 8 + 49n + -64n

Combine like terms: 42 + 8 = 50
20 = 50 + 49n + -64n

Combine like terms: 49n + -64n = -15n
20 = 50 + -15n

Solving
20 = 50 + -15n

Solving for variable 'n'.

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

Add '15n' to each side of the equation.
20 + 15n = 50 + -15n + 15n

Combine like terms: -15n + 15n = 0
20 + 15n = 50 + 0
20 + 15n = 50

Add '-20' to each side of the equation.
20 + -20 + 15n = 50 + -20

Combine like terms: 20 + -20 = 0
0 + 15n = 50 + -20
15n = 50 + -20

Combine like terms: 50 + -20 = 30
15n = 30

Divide each side by '15'.
n = 2

Simplifying
n = 2

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