(17b-8)-4(4b+3)=-6

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Solution for (17b-8)-4(4b+3)=-6 equation:


Simplifying
(17b + -8) + -4(4b + 3) = -6

Reorder the terms:
(-8 + 17b) + -4(4b + 3) = -6

Remove parenthesis around (-8 + 17b)
-8 + 17b + -4(4b + 3) = -6

Reorder the terms:
-8 + 17b + -4(3 + 4b) = -6
-8 + 17b + (3 * -4 + 4b * -4) = -6
-8 + 17b + (-12 + -16b) = -6

Reorder the terms:
-8 + -12 + 17b + -16b = -6

Combine like terms: -8 + -12 = -20
-20 + 17b + -16b = -6

Combine like terms: 17b + -16b = 1b
-20 + 1b = -6

Solving
-20 + 1b = -6

Solving for variable 'b'.

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

Add '20' to each side of the equation.
-20 + 20 + 1b = -6 + 20

Combine like terms: -20 + 20 = 0
0 + 1b = -6 + 20
1b = -6 + 20

Combine like terms: -6 + 20 = 14
1b = 14

Divide each side by '1'.
b = 14

Simplifying
b = 14

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