(25b-4)-8(3b+4)=-6

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Solution for (25b-4)-8(3b+4)=-6 equation:


Simplifying
(25b + -4) + -8(3b + 4) = -6

Reorder the terms:
(-4 + 25b) + -8(3b + 4) = -6

Remove parenthesis around (-4 + 25b)
-4 + 25b + -8(3b + 4) = -6

Reorder the terms:
-4 + 25b + -8(4 + 3b) = -6
-4 + 25b + (4 * -8 + 3b * -8) = -6
-4 + 25b + (-32 + -24b) = -6

Reorder the terms:
-4 + -32 + 25b + -24b = -6

Combine like terms: -4 + -32 = -36
-36 + 25b + -24b = -6

Combine like terms: 25b + -24b = 1b
-36 + 1b = -6

Solving
-36 + 1b = -6

Solving for variable 'b'.

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

Add '36' to each side of the equation.
-36 + 36 + 1b = -6 + 36

Combine like terms: -36 + 36 = 0
0 + 1b = -6 + 36
1b = -6 + 36

Combine like terms: -6 + 36 = 30
1b = 30

Divide each side by '1'.
b = 30

Simplifying
b = 30

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