n-7=-4(n-17)

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Solution for n-7=-4(n-17) equation:


Simplifying
n + -7 = -4(n + -17)

Reorder the terms:
-7 + n = -4(n + -17)

Reorder the terms:
-7 + n = -4(-17 + n)
-7 + n = (-17 * -4 + n * -4)
-7 + n = (68 + -4n)

Solving
-7 + n = 68 + -4n

Solving for variable 'n'.

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

Add '4n' to each side of the equation.
-7 + n + 4n = 68 + -4n + 4n

Combine like terms: n + 4n = 5n
-7 + 5n = 68 + -4n + 4n

Combine like terms: -4n + 4n = 0
-7 + 5n = 68 + 0
-7 + 5n = 68

Add '7' to each side of the equation.
-7 + 7 + 5n = 68 + 7

Combine like terms: -7 + 7 = 0
0 + 5n = 68 + 7
5n = 68 + 7

Combine like terms: 68 + 7 = 75
5n = 75

Divide each side by '5'.
n = 15

Simplifying
n = 15

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