4u-19=7(u-7)

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Solution for 4u-19=7(u-7) equation:


Simplifying
4u + -19 = 7(u + -7)

Reorder the terms:
-19 + 4u = 7(u + -7)

Reorder the terms:
-19 + 4u = 7(-7 + u)
-19 + 4u = (-7 * 7 + u * 7)
-19 + 4u = (-49 + 7u)

Solving
-19 + 4u = -49 + 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.
-19 + 4u + -7u = -49 + 7u + -7u

Combine like terms: 4u + -7u = -3u
-19 + -3u = -49 + 7u + -7u

Combine like terms: 7u + -7u = 0
-19 + -3u = -49 + 0
-19 + -3u = -49

Add '19' to each side of the equation.
-19 + 19 + -3u = -49 + 19

Combine like terms: -19 + 19 = 0
0 + -3u = -49 + 19
-3u = -49 + 19

Combine like terms: -49 + 19 = -30
-3u = -30

Divide each side by '-3'.
u = 10

Simplifying
u = 10

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