(17b-9)-4(4b+4)=-6

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Solution for (17b-9)-4(4b+4)=-6 equation:


Simplifying
(17b + -9) + -4(4b + 4) = -6

Reorder the terms:
(-9 + 17b) + -4(4b + 4) = -6

Remove parenthesis around (-9 + 17b)
-9 + 17b + -4(4b + 4) = -6

Reorder the terms:
-9 + 17b + -4(4 + 4b) = -6
-9 + 17b + (4 * -4 + 4b * -4) = -6
-9 + 17b + (-16 + -16b) = -6

Reorder the terms:
-9 + -16 + 17b + -16b = -6

Combine like terms: -9 + -16 = -25
-25 + 17b + -16b = -6

Combine like terms: 17b + -16b = 1b
-25 + 1b = -6

Solving
-25 + 1b = -6

Solving for variable 'b'.

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

Add '25' to each side of the equation.
-25 + 25 + 1b = -6 + 25

Combine like terms: -25 + 25 = 0
0 + 1b = -6 + 25
1b = -6 + 25

Combine like terms: -6 + 25 = 19
1b = 19

Divide each side by '1'.
b = 19

Simplifying
b = 19

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