3(14+10b)=-6(-9-6b)

Solution for 3(14+10b)=-6(-9-6b) equation:

Simplifying
3(14 + 10b) = -6(-9 + -6b)
(14 * 3 + 10b * 3) = -6(-9 + -6b)
(42 + 30b) = -6(-9 + -6b)
42 + 30b = (-9 * -6 + -6b * -6)
42 + 30b = (54 + 36b)

Solving
42 + 30b = 54 + 36b

Solving for variable 'b'.

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

Add '-36b' to each side of the equation.
42 + 30b + -36b = 54 + 36b + -36b

Combine like terms: 30b + -36b = -6b
42 + -6b = 54 + 36b + -36b

Combine like terms: 36b + -36b = 0
42 + -6b = 54 + 0
42 + -6b = 54

Add '-42' to each side of the equation.
42 + -42 + -6b = 54 + -42

Combine like terms: 42 + -42 = 0
0 + -6b = 54 + -42
-6b = 54 + -42

Combine like terms: 54 + -42 = 12
-6b = 12

Divide each side by '-6'.
b = -2

Simplifying
b = -2