1=8u+3(u-7)

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Solution for 1=8u+3(u-7) equation:


Simplifying
1 = 8u + 3(u + -7)

Reorder the terms:
1 = 8u + 3(-7 + u)
1 = 8u + (-7 * 3 + u * 3)
1 = 8u + (-21 + 3u)

Reorder the terms:
1 = -21 + 8u + 3u

Combine like terms: 8u + 3u = 11u
1 = -21 + 11u

Solving
1 = -21 + 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.
1 + -11u = -21 + 11u + -11u

Combine like terms: 11u + -11u = 0
1 + -11u = -21 + 0
1 + -11u = -21

Add '-1' to each side of the equation.
1 + -1 + -11u = -21 + -1

Combine like terms: 1 + -1 = 0
0 + -11u = -21 + -1
-11u = -21 + -1

Combine like terms: -21 + -1 = -22
-11u = -22

Divide each side by '-11'.
u = 2

Simplifying
u = 2

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