38n+29-7(5n-2)=3+4(n+10)

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Solution for 38n+29-7(5n-2)=3+4(n+10) equation:


Simplifying
38n + 29 + -7(5n + -2) = 3 + 4(n + 10)

Reorder the terms:
38n + 29 + -7(-2 + 5n) = 3 + 4(n + 10)
38n + 29 + (-2 * -7 + 5n * -7) = 3 + 4(n + 10)
38n + 29 + (14 + -35n) = 3 + 4(n + 10)

Reorder the terms:
29 + 14 + 38n + -35n = 3 + 4(n + 10)

Combine like terms: 29 + 14 = 43
43 + 38n + -35n = 3 + 4(n + 10)

Combine like terms: 38n + -35n = 3n
43 + 3n = 3 + 4(n + 10)

Reorder the terms:
43 + 3n = 3 + 4(10 + n)
43 + 3n = 3 + (10 * 4 + n * 4)
43 + 3n = 3 + (40 + 4n)

Combine like terms: 3 + 40 = 43
43 + 3n = 43 + 4n

Add '-43' to each side of the equation.
43 + -43 + 3n = 43 + -43 + 4n

Combine like terms: 43 + -43 = 0
0 + 3n = 43 + -43 + 4n
3n = 43 + -43 + 4n

Combine like terms: 43 + -43 = 0
3n = 0 + 4n
3n = 4n

Solving
3n = 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.
3n + -4n = 4n + -4n

Combine like terms: 3n + -4n = -1n
-1n = 4n + -4n

Combine like terms: 4n + -4n = 0
-1n = 0

Divide each side by '-1'.
n = 0

Simplifying
n = 0

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