29n-4(3-4n)=39-(16-17n)

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Solution for 29n-4(3-4n)=39-(16-17n) equation:


Simplifying
29n + -4(3 + -4n) = 39 + -1(16 + -17n)
29n + (3 * -4 + -4n * -4) = 39 + -1(16 + -17n)
29n + (-12 + 16n) = 39 + -1(16 + -17n)

Reorder the terms:
-12 + 29n + 16n = 39 + -1(16 + -17n)

Combine like terms: 29n + 16n = 45n
-12 + 45n = 39 + -1(16 + -17n)
-12 + 45n = 39 + (16 * -1 + -17n * -1)
-12 + 45n = 39 + (-16 + 17n)

Combine like terms: 39 + -16 = 23
-12 + 45n = 23 + 17n

Solving
-12 + 45n = 23 + 17n

Solving for variable 'n'.

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

Add '-17n' to each side of the equation.
-12 + 45n + -17n = 23 + 17n + -17n

Combine like terms: 45n + -17n = 28n
-12 + 28n = 23 + 17n + -17n

Combine like terms: 17n + -17n = 0
-12 + 28n = 23 + 0
-12 + 28n = 23

Add '12' to each side of the equation.
-12 + 12 + 28n = 23 + 12

Combine like terms: -12 + 12 = 0
0 + 28n = 23 + 12
28n = 23 + 12

Combine like terms: 23 + 12 = 35
28n = 35

Divide each side by '28'.
n = 1.25

Simplifying
n = 1.25

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