(49u+3)=(6u-54)+11(42)

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Solution for (49u+3)=(6u-54)+11(42) equation:


Simplifying
(49u + 3) = (6u + -54) + 11(42)

Reorder the terms:
(3 + 49u) = (6u + -54) + 11(42)

Remove parenthesis around (3 + 49u)
3 + 49u = (6u + -54) + 11(42)

Reorder the terms:
3 + 49u = (-54 + 6u) + 11(42)

Remove parenthesis around (-54 + 6u)
3 + 49u = -54 + 6u + 11(42)

Multiply 11 * 42
3 + 49u = -54 + 6u + 462

Reorder the terms:
3 + 49u = -54 + 462 + 6u

Combine like terms: -54 + 462 = 408
3 + 49u = 408 + 6u

Solving
3 + 49u = 408 + 6u

Solving for variable 'u'.

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

Add '-6u' to each side of the equation.
3 + 49u + -6u = 408 + 6u + -6u

Combine like terms: 49u + -6u = 43u
3 + 43u = 408 + 6u + -6u

Combine like terms: 6u + -6u = 0
3 + 43u = 408 + 0
3 + 43u = 408

Add '-3' to each side of the equation.
3 + -3 + 43u = 408 + -3

Combine like terms: 3 + -3 = 0
0 + 43u = 408 + -3
43u = 408 + -3

Combine like terms: 408 + -3 = 405
43u = 405

Divide each side by '43'.
u = 9.418604651

Simplifying
u = 9.418604651

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