7(7+3u)=-u*11

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Solution for 7(7+3u)=-u*11 equation:


Simplifying
7(7 + 3u) = -1u * 11
(7 * 7 + 3u * 7) = -1u * 11
(49 + 21u) = -1u * 11

Reorder the terms for easier multiplication:
49 + 21u = -1 * 11u

Multiply -1 * 11
49 + 21u = -11u

Solving
49 + 21u = -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.
49 + 21u + 11u = -11u + 11u

Combine like terms: 21u + 11u = 32u
49 + 32u = -11u + 11u

Combine like terms: -11u + 11u = 0
49 + 32u = 0

Add '-49' to each side of the equation.
49 + -49 + 32u = 0 + -49

Combine like terms: 49 + -49 = 0
0 + 32u = 0 + -49
32u = 0 + -49

Combine like terms: 0 + -49 = -49
32u = -49

Divide each side by '32'.
u = -1.53125

Simplifying
u = -1.53125

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