(17b-2)-8(2b+3)=-4

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Solution for (17b-2)-8(2b+3)=-4 equation:


Simplifying
(17b + -2) + -8(2b + 3) = -4

Reorder the terms:
(-2 + 17b) + -8(2b + 3) = -4

Remove parenthesis around (-2 + 17b)
-2 + 17b + -8(2b + 3) = -4

Reorder the terms:
-2 + 17b + -8(3 + 2b) = -4
-2 + 17b + (3 * -8 + 2b * -8) = -4
-2 + 17b + (-24 + -16b) = -4

Reorder the terms:
-2 + -24 + 17b + -16b = -4

Combine like terms: -2 + -24 = -26
-26 + 17b + -16b = -4

Combine like terms: 17b + -16b = 1b
-26 + 1b = -4

Solving
-26 + 1b = -4

Solving for variable 'b'.

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

Add '26' to each side of the equation.
-26 + 26 + 1b = -4 + 26

Combine like terms: -26 + 26 = 0
0 + 1b = -4 + 26
1b = -4 + 26

Combine like terms: -4 + 26 = 22
1b = 22

Divide each side by '1'.
b = 22

Simplifying
b = 22

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