3(b-8)+6(b-19)=6

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Solution for 3(b-8)+6(b-19)=6 equation:


Simplifying
3(b + -8) + 6(b + -19) = 6

Reorder the terms:
3(-8 + b) + 6(b + -19) = 6
(-8 * 3 + b * 3) + 6(b + -19) = 6
(-24 + 3b) + 6(b + -19) = 6

Reorder the terms:
-24 + 3b + 6(-19 + b) = 6
-24 + 3b + (-19 * 6 + b * 6) = 6
-24 + 3b + (-114 + 6b) = 6

Reorder the terms:
-24 + -114 + 3b + 6b = 6

Combine like terms: -24 + -114 = -138
-138 + 3b + 6b = 6

Combine like terms: 3b + 6b = 9b
-138 + 9b = 6

Solving
-138 + 9b = 6

Solving for variable 'b'.

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

Add '138' to each side of the equation.
-138 + 138 + 9b = 6 + 138

Combine like terms: -138 + 138 = 0
0 + 9b = 6 + 138
9b = 6 + 138

Combine like terms: 6 + 138 = 144
9b = 144

Divide each side by '9'.
b = 16

Simplifying
b = 16

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