(17b-5)-4(b+1)=-6

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Solution for (17b-5)-4(b+1)=-6 equation:


Simplifying
(17b + -5) + -4(b + 1) = -6

Reorder the terms:
(-5 + 17b) + -4(b + 1) = -6

Remove parenthesis around (-5 + 17b)
-5 + 17b + -4(b + 1) = -6

Reorder the terms:
-5 + 17b + -4(1 + b) = -6
-5 + 17b + (1 * -4 + b * -4) = -6
-5 + 17b + (-4 + -4b) = -6

Reorder the terms:
-5 + -4 + 17b + -4b = -6

Combine like terms: -5 + -4 = -9
-9 + 17b + -4b = -6

Combine like terms: 17b + -4b = 13b
-9 + 13b = -6

Solving
-9 + 13b = -6

Solving for variable 'b'.

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

Add '9' to each side of the equation.
-9 + 9 + 13b = -6 + 9

Combine like terms: -9 + 9 = 0
0 + 13b = -6 + 9
13b = -6 + 9

Combine like terms: -6 + 9 = 3
13b = 3

Divide each side by '13'.
b = 0.2307692308

Simplifying
b = 0.2307692308

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