10-2b=-3(1+6b)-3

Solution for 10-2b=-3(1+6b)-3 equation:

Simplifying
10 + -2b = -3(1 + 6b) + -3
10 + -2b = (1 * -3 + 6b * -3) + -3
10 + -2b = (-3 + -18b) + -3

Reorder the terms:
10 + -2b = -3 + -3 + -18b

Combine like terms: -3 + -3 = -6
10 + -2b = -6 + -18b

Solving
10 + -2b = -6 + -18b

Solving for variable 'b'.

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

Add '18b' to each side of the equation.
10 + -2b + 18b = -6 + -18b + 18b

Combine like terms: -2b + 18b = 16b
10 + 16b = -6 + -18b + 18b

Combine like terms: -18b + 18b = 0
10 + 16b = -6 + 0
10 + 16b = -6

Add '-10' to each side of the equation.
10 + -10 + 16b = -6 + -10

Combine like terms: 10 + -10 = 0
0 + 16b = -6 + -10
16b = -6 + -10

Combine like terms: -6 + -10 = -16
16b = -16

Divide each side by '16'.
b = -1

Simplifying
b = -1