(17b-8)-4(4b+4)=-7

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Solution for (17b-8)-4(4b+4)=-7 equation:


Simplifying
(17b + -8) + -4(4b + 4) = -7

Reorder the terms:
(-8 + 17b) + -4(4b + 4) = -7

Remove parenthesis around (-8 + 17b)
-8 + 17b + -4(4b + 4) = -7

Reorder the terms:
-8 + 17b + -4(4 + 4b) = -7
-8 + 17b + (4 * -4 + 4b * -4) = -7
-8 + 17b + (-16 + -16b) = -7

Reorder the terms:
-8 + -16 + 17b + -16b = -7

Combine like terms: -8 + -16 = -24
-24 + 17b + -16b = -7

Combine like terms: 17b + -16b = 1b
-24 + 1b = -7

Solving
-24 + 1b = -7

Solving for variable 'b'.

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

Add '24' to each side of the equation.
-24 + 24 + 1b = -7 + 24

Combine like terms: -24 + 24 = 0
0 + 1b = -7 + 24
1b = -7 + 24

Combine like terms: -7 + 24 = 17
1b = 17

Divide each side by '1'.
b = 17

Simplifying
b = 17

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