(15b-5)-7(2b+1)=-6

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Solution for (15b-5)-7(2b+1)=-6 equation:


Simplifying
(15b + -5) + -7(2b + 1) = -6

Reorder the terms:
(-5 + 15b) + -7(2b + 1) = -6

Remove parenthesis around (-5 + 15b)
-5 + 15b + -7(2b + 1) = -6

Reorder the terms:
-5 + 15b + -7(1 + 2b) = -6
-5 + 15b + (1 * -7 + 2b * -7) = -6
-5 + 15b + (-7 + -14b) = -6

Reorder the terms:
-5 + -7 + 15b + -14b = -6

Combine like terms: -5 + -7 = -12
-12 + 15b + -14b = -6

Combine like terms: 15b + -14b = 1b
-12 + 1b = -6

Solving
-12 + 1b = -6

Solving for variable 'b'.

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

Add '12' to each side of the equation.
-12 + 12 + 1b = -6 + 12

Combine like terms: -12 + 12 = 0
0 + 1b = -6 + 12
1b = -6 + 12

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

Divide each side by '1'.
b = 6

Simplifying
b = 6

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