6+3b=-7+4(b+3)

Solution for 6+3b=-7+4(b+3) equation:

Simplifying
6 + 3b = -7 + 4(b + 3)

Reorder the terms:
6 + 3b = -7 + 4(3 + b)
6 + 3b = -7 + (3 * 4 + b * 4)
6 + 3b = -7 + (12 + 4b)

Combine like terms: -7 + 12 = 5
6 + 3b = 5 + 4b

Solving
6 + 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.
6 + 3b + -4b = 5 + 4b + -4b

Combine like terms: 3b + -4b = -1b
6 + -1b = 5 + 4b + -4b

Combine like terms: 4b + -4b = 0
6 + -1b = 5 + 0
6 + -1b = 5

Add '-6' to each side of the equation.
6 + -6 + -1b = 5 + -6

Combine like terms: 6 + -6 = 0
0 + -1b = 5 + -6
-1b = 5 + -6

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

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

Simplifying
b = 1