42=4(2-8n)-(1+3n)

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Solution for 42=4(2-8n)-(1+3n) equation: 


Simplifying
42 = 4(2 + -8n) + -1(1 + 3n)
42 = (2 * 4 + -8n * 4) + -1(1 + 3n)
42 = (8 + -32n) + -1(1 + 3n)
42 = 8 + -32n + (1 * -1 + 3n * -1)
42 = 8 + -32n + (-1 + -3n)

Reorder the terms:
42 = 8 + -1 + -32n + -3n

Combine like terms: 8 + -1 = 7
42 = 7 + -32n + -3n

Combine like terms: -32n + -3n = -35n
42 = 7 + -35n

Solving
42 = 7 + -35n

Solving for variable 'n'.

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

Add '35n' to each side of the equation.
42 + 35n = 7 + -35n + 35n

Combine like terms: -35n + 35n = 0
42 + 35n = 7 + 0
42 + 35n = 7

Add '-42' to each side of the equation.
42 + -42 + 35n = 7 + -42

Combine like terms: 42 + -42 = 0
0 + 35n = 7 + -42
35n = 7 + -42

Combine like terms: 7 + -42 = -35
35n = -35

Divide each side by '35'.
n = -1

Simplifying
n = -1

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