3(1+5b)-6=8b+18

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Solution for 3(1+5b)-6=8b+18 equation:


Simplifying
3(1 + 5b) + -6 = 8b + 18
(1 * 3 + 5b * 3) + -6 = 8b + 18
(3 + 15b) + -6 = 8b + 18

Reorder the terms:
3 + -6 + 15b = 8b + 18

Combine like terms: 3 + -6 = -3
-3 + 15b = 8b + 18

Reorder the terms:
-3 + 15b = 18 + 8b

Solving
-3 + 15b = 18 + 8b

Solving for variable 'b'.

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

Add '-8b' to each side of the equation.
-3 + 15b + -8b = 18 + 8b + -8b

Combine like terms: 15b + -8b = 7b
-3 + 7b = 18 + 8b + -8b

Combine like terms: 8b + -8b = 0
-3 + 7b = 18 + 0
-3 + 7b = 18

Add '3' to each side of the equation.
-3 + 3 + 7b = 18 + 3

Combine like terms: -3 + 3 = 0
0 + 7b = 18 + 3
7b = 18 + 3

Combine like terms: 18 + 3 = 21
7b = 21

Divide each side by '7'.
b = 3

Simplifying
b = 3

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