461=6+7(1-8n)

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Solution for 461=6+7(1-8n) equation:


Simplifying
461 = 6 + 7(1 + -8n)
461 = 6 + (1 * 7 + -8n * 7)
461 = 6 + (7 + -56n)

Combine like terms: 6 + 7 = 13
461 = 13 + -56n

Solving
461 = 13 + -56n

Solving for variable 'n'.

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

Add '56n' to each side of the equation.
461 + 56n = 13 + -56n + 56n

Combine like terms: -56n + 56n = 0
461 + 56n = 13 + 0
461 + 56n = 13

Add '-461' to each side of the equation.
461 + -461 + 56n = 13 + -461

Combine like terms: 461 + -461 = 0
0 + 56n = 13 + -461
56n = 13 + -461

Combine like terms: 13 + -461 = -448
56n = -448

Divide each side by '56'.
n = -8

Simplifying
n = -8

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