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

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


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

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

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

Reorder the terms:
-2 + 17b + -8(4 + 2b) = -3
-2 + 17b + (4 * -8 + 2b * -8) = -3
-2 + 17b + (-32 + -16b) = -3

Reorder the terms:
-2 + -32 + 17b + -16b = -3

Combine like terms: -2 + -32 = -34
-34 + 17b + -16b = -3

Combine like terms: 17b + -16b = 1b
-34 + 1b = -3

Solving
-34 + 1b = -3

Solving for variable 'b'.

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

Add '34' to each side of the equation.
-34 + 34 + 1b = -3 + 34

Combine like terms: -34 + 34 = 0
0 + 1b = -3 + 34
1b = -3 + 34

Combine like terms: -3 + 34 = 31
1b = 31

Divide each side by '1'.
b = 31

Simplifying
b = 31

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