-3[4-(3b+3)]=6-3(3b+8)

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Solution for -3[4-(3b+3)]=6-3(3b+8) equation:


Simplifying
-3[4 + -1(3b + 3)] = 6 + -3(3b + 8)

Reorder the terms:
-3[4 + -1(3 + 3b)] = 6 + -3(3b + 8)
-3[4 + (3 * -1 + 3b * -1)] = 6 + -3(3b + 8)
-3[4 + (-3 + -3b)] = 6 + -3(3b + 8)

Combine like terms: 4 + -3 = 1
-3[1 + -3b] = 6 + -3(3b + 8)
[1 * -3 + -3b * -3] = 6 + -3(3b + 8)
[-3 + 9b] = 6 + -3(3b + 8)

Reorder the terms:
-3 + 9b = 6 + -3(8 + 3b)
-3 + 9b = 6 + (8 * -3 + 3b * -3)
-3 + 9b = 6 + (-24 + -9b)

Combine like terms: 6 + -24 = -18
-3 + 9b = -18 + -9b

Solving
-3 + 9b = -18 + -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.
-3 + 9b + 9b = -18 + -9b + 9b

Combine like terms: 9b + 9b = 18b
-3 + 18b = -18 + -9b + 9b

Combine like terms: -9b + 9b = 0
-3 + 18b = -18 + 0
-3 + 18b = -18

Add '3' to each side of the equation.
-3 + 3 + 18b = -18 + 3

Combine like terms: -3 + 3 = 0
0 + 18b = -18 + 3
18b = -18 + 3

Combine like terms: -18 + 3 = -15
18b = -15

Divide each side by '18'.
b = -0.8333333333

Simplifying
b = -0.8333333333

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