-2[4-(3b+2)]=5-3(3b+6)

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Solution for -2[4-(3b+2)]=5-3(3b+6) equation:


Simplifying
-2[4 + -1(3b + 2)] = 5 + -3(3b + 6)

Reorder the terms:
-2[4 + -1(2 + 3b)] = 5 + -3(3b + 6)
-2[4 + (2 * -1 + 3b * -1)] = 5 + -3(3b + 6)
-2[4 + (-2 + -3b)] = 5 + -3(3b + 6)

Combine like terms: 4 + -2 = 2
-2[2 + -3b] = 5 + -3(3b + 6)
[2 * -2 + -3b * -2] = 5 + -3(3b + 6)
[-4 + 6b] = 5 + -3(3b + 6)

Reorder the terms:
-4 + 6b = 5 + -3(6 + 3b)
-4 + 6b = 5 + (6 * -3 + 3b * -3)
-4 + 6b = 5 + (-18 + -9b)

Combine like terms: 5 + -18 = -13
-4 + 6b = -13 + -9b

Solving
-4 + 6b = -13 + -9b

Solving for variable 'b'.

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

Add '9b' to each side of the equation.
-4 + 6b + 9b = -13 + -9b + 9b

Combine like terms: 6b + 9b = 15b
-4 + 15b = -13 + -9b + 9b

Combine like terms: -9b + 9b = 0
-4 + 15b = -13 + 0
-4 + 15b = -13

Add '4' to each side of the equation.
-4 + 4 + 15b = -13 + 4

Combine like terms: -4 + 4 = 0
0 + 15b = -13 + 4
15b = -13 + 4

Combine like terms: -13 + 4 = -9
15b = -9

Divide each side by '15'.
b = -0.6

Simplifying
b = -0.6

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