2b+8(2b-3)=-3(-5b-6)

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Solution for 2b+8(2b-3)=-3(-5b-6) equation:


Simplifying
2b + 8(2b + -3) = -3(-5b + -6)

Reorder the terms:
2b + 8(-3 + 2b) = -3(-5b + -6)
2b + (-3 * 8 + 2b * 8) = -3(-5b + -6)
2b + (-24 + 16b) = -3(-5b + -6)

Reorder the terms:
-24 + 2b + 16b = -3(-5b + -6)

Combine like terms: 2b + 16b = 18b
-24 + 18b = -3(-5b + -6)

Reorder the terms:
-24 + 18b = -3(-6 + -5b)
-24 + 18b = (-6 * -3 + -5b * -3)
-24 + 18b = (18 + 15b)

Solving
-24 + 18b = 18 + 15b

Solving for variable 'b'.

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

Add '-15b' to each side of the equation.
-24 + 18b + -15b = 18 + 15b + -15b

Combine like terms: 18b + -15b = 3b
-24 + 3b = 18 + 15b + -15b

Combine like terms: 15b + -15b = 0
-24 + 3b = 18 + 0
-24 + 3b = 18

Add '24' to each side of the equation.
-24 + 24 + 3b = 18 + 24

Combine like terms: -24 + 24 = 0
0 + 3b = 18 + 24
3b = 18 + 24

Combine like terms: 18 + 24 = 42
3b = 42

Divide each side by '3'.
b = 14

Simplifying
b = 14

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