-2u+46=-7(u-3)

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Solution for -2u+46=-7(u-3) equation:


Simplifying
-2u + 46 = -7(u + -3)

Reorder the terms:
46 + -2u = -7(u + -3)

Reorder the terms:
46 + -2u = -7(-3 + u)
46 + -2u = (-3 * -7 + u * -7)
46 + -2u = (21 + -7u)

Solving
46 + -2u = 21 + -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.
46 + -2u + 7u = 21 + -7u + 7u

Combine like terms: -2u + 7u = 5u
46 + 5u = 21 + -7u + 7u

Combine like terms: -7u + 7u = 0
46 + 5u = 21 + 0
46 + 5u = 21

Add '-46' to each side of the equation.
46 + -46 + 5u = 21 + -46

Combine like terms: 46 + -46 = 0
0 + 5u = 21 + -46
5u = 21 + -46

Combine like terms: 21 + -46 = -25
5u = -25

Divide each side by '5'.
u = -5

Simplifying
u = -5

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