(13b-3)-4(3b+3)=-6

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Solution for (13b-3)-4(3b+3)=-6 equation:


Simplifying
(13b + -3) + -4(3b + 3) = -6

Reorder the terms:
(-3 + 13b) + -4(3b + 3) = -6

Remove parenthesis around (-3 + 13b)
-3 + 13b + -4(3b + 3) = -6

Reorder the terms:
-3 + 13b + -4(3 + 3b) = -6
-3 + 13b + (3 * -4 + 3b * -4) = -6
-3 + 13b + (-12 + -12b) = -6

Reorder the terms:
-3 + -12 + 13b + -12b = -6

Combine like terms: -3 + -12 = -15
-15 + 13b + -12b = -6

Combine like terms: 13b + -12b = 1b
-15 + 1b = -6

Solving
-15 + 1b = -6

Solving for variable 'b'.

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

Add '15' to each side of the equation.
-15 + 15 + 1b = -6 + 15

Combine like terms: -15 + 15 = 0
0 + 1b = -6 + 15
1b = -6 + 15

Combine like terms: -6 + 15 = 9
1b = 9

Divide each side by '1'.
b = 9

Simplifying
b = 9

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