12b(6+8)=b-2(13-b)-7

Solution for 12b(6+8)=b-2(13-b)-7 equation:

Simplifying
12b(6 + 8) = b + -2(13 + -1b) + -7

Combine like terms: 6 + 8 = 14
12b(14) = b + -2(13 + -1b) + -7

Reorder the terms for easier multiplication:
12 * 14b = b + -2(13 + -1b) + -7

Multiply 12 * 14
168b = b + -2(13 + -1b) + -7
168b = b + (13 * -2 + -1b * -2) + -7
168b = b + (-26 + 2b) + -7

Reorder the terms:
168b = -26 + -7 + b + 2b

Combine like terms: -26 + -7 = -33
168b = -33 + b + 2b

Combine like terms: b + 2b = 3b
168b = -33 + 3b

Solving
168b = -33 + 3b

Solving for variable 'b'.

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

Add '-3b' to each side of the equation.
168b + -3b = -33 + 3b + -3b

Combine like terms: 168b + -3b = 165b
165b = -33 + 3b + -3b

Combine like terms: 3b + -3b = 0
165b = -33 + 0
165b = -33

Divide each side by '165'.
b = -0.2

Simplifying
b = -0.2