3b+1=4b-5

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Solution for 3b+1=4b-5 equation:


Simplifying
3b + 1 = 4b + -5

Reorder the terms:
1 + 3b = 4b + -5

Reorder the terms:
1 + 3b = -5 + 4b

Solving
1 + 3b = -5 + 4b

Solving for variable 'b'.

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

Add '-4b' to each side of the equation.
1 + 3b + -4b = -5 + 4b + -4b

Combine like terms: 3b + -4b = -1b
1 + -1b = -5 + 4b + -4b

Combine like terms: 4b + -4b = 0
1 + -1b = -5 + 0
1 + -1b = -5

Add '-1' to each side of the equation.
1 + -1 + -1b = -5 + -1

Combine like terms: 1 + -1 = 0
0 + -1b = -5 + -1
-1b = -5 + -1

Combine like terms: -5 + -1 = -6
-1b = -6

Divide each side by '-1'.
b = 6

Simplifying
b = 6

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