-1-(-3+5n)=7-5(4+4n)

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Solution for -1-(-3+5n)=7-5(4+4n) equation: 


Simplifying
-1 + -1(-3 + 5n) = 7 + -5(4 + 4n)
-1 + (-3 * -1 + 5n * -1) = 7 + -5(4 + 4n)
-1 + (3 + -5n) = 7 + -5(4 + 4n)

Combine like terms: -1 + 3 = 2
2 + -5n = 7 + -5(4 + 4n)
2 + -5n = 7 + (4 * -5 + 4n * -5)
2 + -5n = 7 + (-20 + -20n)

Combine like terms: 7 + -20 = -13
2 + -5n = -13 + -20n

Solving
2 + -5n = -13 + -20n

Solving for variable 'n'.

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

Add '20n' to each side of the equation.
2 + -5n + 20n = -13 + -20n + 20n

Combine like terms: -5n + 20n = 15n
2 + 15n = -13 + -20n + 20n

Combine like terms: -20n + 20n = 0
2 + 15n = -13 + 0
2 + 15n = -13

Add '-2' to each side of the equation.
2 + -2 + 15n = -13 + -2

Combine like terms: 2 + -2 = 0
0 + 15n = -13 + -2
15n = -13 + -2

Combine like terms: -13 + -2 = -15
15n = -15

Divide each side by '15'.
n = -1

Simplifying
n = -1

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