(17b-8)-8(2b+1)=-5

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Solution for (17b-8)-8(2b+1)=-5 equation:


Simplifying
(17b + -8) + -8(2b + 1) = -5

Reorder the terms:
(-8 + 17b) + -8(2b + 1) = -5

Remove parenthesis around (-8 + 17b)
-8 + 17b + -8(2b + 1) = -5

Reorder the terms:
-8 + 17b + -8(1 + 2b) = -5
-8 + 17b + (1 * -8 + 2b * -8) = -5
-8 + 17b + (-8 + -16b) = -5

Reorder the terms:
-8 + -8 + 17b + -16b = -5

Combine like terms: -8 + -8 = -16
-16 + 17b + -16b = -5

Combine like terms: 17b + -16b = 1b
-16 + 1b = -5

Solving
-16 + 1b = -5

Solving for variable 'b'.

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

Add '16' to each side of the equation.
-16 + 16 + 1b = -5 + 16

Combine like terms: -16 + 16 = 0
0 + 1b = -5 + 16
1b = -5 + 16

Combine like terms: -5 + 16 = 11
1b = 11

Divide each side by '1'.
b = 11

Simplifying
b = 11

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