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

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


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

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

Reorder the terms:
-3 + 6u = -7(-7 + u)
-3 + 6u = (-7 * -7 + u * -7)
-3 + 6u = (49 + -7u)

Solving
-3 + 6u = 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.
-3 + 6u + 7u = 49 + -7u + 7u

Combine like terms: 6u + 7u = 13u
-3 + 13u = 49 + -7u + 7u

Combine like terms: -7u + 7u = 0
-3 + 13u = 49 + 0
-3 + 13u = 49

Add '3' to each side of the equation.
-3 + 3 + 13u = 49 + 3

Combine like terms: -3 + 3 = 0
0 + 13u = 49 + 3
13u = 49 + 3

Combine like terms: 49 + 3 = 52
13u = 52

Divide each side by '13'.
u = 4

Simplifying
u = 4

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