6(u+1)-9=4(u-1)+20

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Solution for 6(u+1)-9=4(u-1)+20 equation:


Simplifying
6(u + 1) + -9 = 4(u + -1) + 20

Reorder the terms:
6(1 + u) + -9 = 4(u + -1) + 20
(1 * 6 + u * 6) + -9 = 4(u + -1) + 20
(6 + 6u) + -9 = 4(u + -1) + 20

Reorder the terms:
6 + -9 + 6u = 4(u + -1) + 20

Combine like terms: 6 + -9 = -3
-3 + 6u = 4(u + -1) + 20

Reorder the terms:
-3 + 6u = 4(-1 + u) + 20
-3 + 6u = (-1 * 4 + u * 4) + 20
-3 + 6u = (-4 + 4u) + 20

Reorder the terms:
-3 + 6u = -4 + 20 + 4u

Combine like terms: -4 + 20 = 16
-3 + 6u = 16 + 4u

Solving
-3 + 6u = 16 + 4u

Solving for variable 'u'.

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

Add '-4u' to each side of the equation.
-3 + 6u + -4u = 16 + 4u + -4u

Combine like terms: 6u + -4u = 2u
-3 + 2u = 16 + 4u + -4u

Combine like terms: 4u + -4u = 0
-3 + 2u = 16 + 0
-3 + 2u = 16

Add '3' to each side of the equation.
-3 + 3 + 2u = 16 + 3

Combine like terms: -3 + 3 = 0
0 + 2u = 16 + 3
2u = 16 + 3

Combine like terms: 16 + 3 = 19
2u = 19

Divide each side by '2'.
u = 9.5

Simplifying
u = 9.5

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