(10b-1)-3(3b+4)=-2

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Solution for (10b-1)-3(3b+4)=-2 equation:


Simplifying
(10b + -1) + -3(3b + 4) = -2

Reorder the terms:
(-1 + 10b) + -3(3b + 4) = -2

Remove parenthesis around (-1 + 10b)
-1 + 10b + -3(3b + 4) = -2

Reorder the terms:
-1 + 10b + -3(4 + 3b) = -2
-1 + 10b + (4 * -3 + 3b * -3) = -2
-1 + 10b + (-12 + -9b) = -2

Reorder the terms:
-1 + -12 + 10b + -9b = -2

Combine like terms: -1 + -12 = -13
-13 + 10b + -9b = -2

Combine like terms: 10b + -9b = 1b
-13 + 1b = -2

Solving
-13 + 1b = -2

Solving for variable 'b'.

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

Add '13' to each side of the equation.
-13 + 13 + 1b = -2 + 13

Combine like terms: -13 + 13 = 0
0 + 1b = -2 + 13
1b = -2 + 13

Combine like terms: -2 + 13 = 11
1b = 11

Divide each side by '1'.
b = 11

Simplifying
b = 11

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