-3u+38=-7(u-6)

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Solution for -3u+38=-7(u-6) equation:


Simplifying
-3u + 38 = -7(u + -6)

Reorder the terms:
38 + -3u = -7(u + -6)

Reorder the terms:
38 + -3u = -7(-6 + u)
38 + -3u = (-6 * -7 + u * -7)
38 + -3u = (42 + -7u)

Solving
38 + -3u = 42 + -7u

Solving for variable 'u'.

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

Add '7u' to each side of the equation.
38 + -3u + 7u = 42 + -7u + 7u

Combine like terms: -3u + 7u = 4u
38 + 4u = 42 + -7u + 7u

Combine like terms: -7u + 7u = 0
38 + 4u = 42 + 0
38 + 4u = 42

Add '-38' to each side of the equation.
38 + -38 + 4u = 42 + -38

Combine like terms: 38 + -38 = 0
0 + 4u = 42 + -38
4u = 42 + -38

Combine like terms: 42 + -38 = 4
4u = 4

Divide each side by '4'.
u = 1

Simplifying
u = 1

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