34=3u+8(u-4)

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Solution for 34=3u+8(u-4) equation:


Simplifying
34 = 3u + 8(u + -4)

Reorder the terms:
34 = 3u + 8(-4 + u)
34 = 3u + (-4 * 8 + u * 8)
34 = 3u + (-32 + 8u)

Reorder the terms:
34 = -32 + 3u + 8u

Combine like terms: 3u + 8u = 11u
34 = -32 + 11u

Solving
34 = -32 + 11u

Solving for variable 'u'.

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

Add '-11u' to each side of the equation.
34 + -11u = -32 + 11u + -11u

Combine like terms: 11u + -11u = 0
34 + -11u = -32 + 0
34 + -11u = -32

Add '-34' to each side of the equation.
34 + -34 + -11u = -32 + -34

Combine like terms: 34 + -34 = 0
0 + -11u = -32 + -34
-11u = -32 + -34

Combine like terms: -32 + -34 = -66
-11u = -66

Divide each side by '-11'.
u = 6

Simplifying
u = 6

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