-4(6+1)+2b=3(2b-1)

Solution for -4(6+1)+2b=3(2b-1) equation:

Simplifying
-4(6 + 1) + 2b = 3(2b + -1)

Combine like terms: 6 + 1 = 7
-4(7) + 2b = 3(2b + -1)

Multiply -4 * 7
-28 + 2b = 3(2b + -1)

Reorder the terms:
-28 + 2b = 3(-1 + 2b)
-28 + 2b = (-1 * 3 + 2b * 3)
-28 + 2b = (-3 + 6b)

Solving
-28 + 2b = -3 + 6b

Solving for variable 'b'.

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

Add '-6b' to each side of the equation.
-28 + 2b + -6b = -3 + 6b + -6b

Combine like terms: 2b + -6b = -4b
-28 + -4b = -3 + 6b + -6b

Combine like terms: 6b + -6b = 0
-28 + -4b = -3 + 0
-28 + -4b = -3

Add '28' to each side of the equation.
-28 + 28 + -4b = -3 + 28

Combine like terms: -28 + 28 = 0
0 + -4b = -3 + 28
-4b = -3 + 28

Combine like terms: -3 + 28 = 25
-4b = 25

Divide each side by '-4'.
b = -6.25

Simplifying
b = -6.25