3u-47=-2(u+6)

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Solution for 3u-47=-2(u+6) equation:


Simplifying
3u + -47 = -2(u + 6)

Reorder the terms:
-47 + 3u = -2(u + 6)

Reorder the terms:
-47 + 3u = -2(6 + u)
-47 + 3u = (6 * -2 + u * -2)
-47 + 3u = (-12 + -2u)

Solving
-47 + 3u = -12 + -2u

Solving for variable 'u'.

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

Add '2u' to each side of the equation.
-47 + 3u + 2u = -12 + -2u + 2u

Combine like terms: 3u + 2u = 5u
-47 + 5u = -12 + -2u + 2u

Combine like terms: -2u + 2u = 0
-47 + 5u = -12 + 0
-47 + 5u = -12

Add '47' to each side of the equation.
-47 + 47 + 5u = -12 + 47

Combine like terms: -47 + 47 = 0
0 + 5u = -12 + 47
5u = -12 + 47

Combine like terms: -12 + 47 = 35
5u = 35

Divide each side by '5'.
u = 7

Simplifying
u = 7

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